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11. find g.c.d of given numbers and express it as linear combination of them | number theory 

Kamaldeep Nijjar
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find g.c.d of given numbers and express it as linear combination of them,
numbertheory
greatest common divisor | g.c.d | number theory | Euclid algorithm | #numbertheory
examples of greatest common divisor,
greatest common divisor in hindi,
greatest common divisor euclidean algorithm,
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number theory,
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common divisor,
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5 сен 2024

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Комментарии : 451   
@KamaldeepNijjar
@KamaldeepNijjar Год назад
Hey! Checkout this amazing course *NUMBER THEORY* by Kamaldeep Nijjar Classes. Click to Buy now! knaqp.courses.store/250593
@debanjanghosal618
@debanjanghosal618 3 месяца назад
This is hands down the best tutorial on this topic
@KamaldeepNijjar
@KamaldeepNijjar 3 месяца назад
Thanks 🙏
@bhagattudu4907
@bhagattudu4907 3 года назад
Thank you Sir, You explained it in the simplest way as can as possible 🙏
@mandarpatil7244
@mandarpatil7244 Год назад
I was able to find gcd but I didn't get how we get d = ma + nb in the last in my college. But, this video cleared my doubt crystal clear. Thank you
@kajalchaudhary2491
@kajalchaudhary2491 3 года назад
The way of your teaching is suprb
@KamaldeepNijjar
@KamaldeepNijjar 3 года назад
Thanks kajal, keep sharing keep supporting
@AjitVerma-uj7fr
@AjitVerma-uj7fr Месяц назад
Bahut acha se samajh me aaya sir ❤❤❤❤❤
@wajeehaniaz9078
@wajeehaniaz9078 3 года назад
Jan hay tu jahan hay .. smile hay tu life hay yh bhut achA kehty hain ap .... great sir love you bhut achA smnjhaty hain Allah ap ko khush rakhy Ameen
@FaizanIqbal-jl1cp
@FaizanIqbal-jl1cp 4 месяца назад
Ameen
@none-5k
@none-5k 2 года назад
best teacher...totally clear🤪...concept...thanks😊☺️
@KamaldeepNijjar
@KamaldeepNijjar 2 года назад
Thanks faizan,,, spread this knowledge
@monikasankhyan7003
@monikasankhyan7003 3 года назад
Thnxx a lot to uh I saw a lot of videos but I didn't understand this question ☹️। But now I got it😁 Thnk uh and after tomorrow is my exam of BCA 3rd Mathematics wish me all the best plzz I'm very very stressed 🥺
@KamaldeepNijjar
@KamaldeepNijjar 3 года назад
Good luck,, waheguru bless you,,🙌🙌🙌🙌
@madhukarpandey8187
@madhukarpandey8187 4 года назад
Yes Sir pura samaj aa gya Sir .... Speed is calculated as miles pr hour But life is calculated as Smile pr hour ..So increase your smile to get extra mileage in life ...
@KamaldeepNijjar
@KamaldeepNijjar 4 года назад
Thanks soo much,, nice words,,,
@KamaldeepNijjar
@KamaldeepNijjar 4 года назад
Siddharth,, i will continue it,, but i want that maximum students watch it,, means share it and suggest your friends to learn from here
@madhukarpandey8187
@madhukarpandey8187 4 года назад
@@KamaldeepNijjar Sure .... Sir ...
@Imkids001
@Imkids001 3 месяца назад
A good teacher is very important for right guidence ,thankyou sir for great explanation
@KamaldeepNijjar
@KamaldeepNijjar 3 месяца назад
Thank you dear,,, Keep smiling and keep supporting
@maheenjawaid7641
@maheenjawaid7641 3 года назад
Thankyou somuch sirrrr bht acha smjhaya🌸💕
@KamaldeepNijjar
@KamaldeepNijjar 3 года назад
My pleasure,,, give us one favour,, subscribe our new channel, we need your support, the link of channel is on home page of my channel ru-vid.com/show-UCbVJpsQlvf_QaHWDhAc4kKQ link of new channel
@pradeepbose159
@pradeepbose159 3 года назад
Sir aap world k best sir ho 🙏🏻🇮🇳❤
@shivamverma2262
@shivamverma2262 3 года назад
No way......,,......................
@pradeepbose159
@pradeepbose159 3 года назад
@@shivamverma2262 please do not say such a thing because sir is my favorite teacher..
@KamaldeepNijjar
@KamaldeepNijjar 3 года назад
Thanks pradip ,,,, leave him ,, everyone has its on taste,,, Don't listen just move on and do our own karma 🙌🙏
@itzajgamer
@itzajgamer Год назад
Sir I watch this video before 2 hours from exam and this is so much helpful thankyou ji❤❤
@KamaldeepNijjar
@KamaldeepNijjar Год назад
Good luck for exam
@jawadahmadbhatti247
@jawadahmadbhatti247 3 года назад
Booss your method of teaching is very goood...
@SaniyaKhan-gy7qx
@SaniyaKhan-gy7qx 3 года назад
Mast tha sir👍🤗❤️...Aise hi karte rahiye🤗🤗
@KamaldeepNijjar
@KamaldeepNijjar 3 года назад
My pleasure 🤘give us one favour,, subscribe our new channel, we need your support, the link of channel is on home page of my channel or ru-vid.com/show-UCbVJpsQlvf_QaHWDhAc4kKQ link of new channel,and do it right now for us
@SaniyaKhan-gy7qx
@SaniyaKhan-gy7qx 3 года назад
@@KamaldeepNijjar sir mai GATE maths exam dena ka soch rahi hun agar aapko koi coaching ya kuch gate maths exam related pata ho toh plzz mujhe bataye.zyada tar sab coaching wale engineering GATE padha rahe h. Mera basic bhi bohat week h esliye koi samjhane wala chahiye..mera abhi masters ka first aaj se start hua h.
@hey.itsnitin
@hey.itsnitin 3 месяца назад
❤️❤️ best tutorial ever
@KamaldeepNijjar
@KamaldeepNijjar 3 месяца назад
Thank you
@i_rishh
@i_rishh 3 года назад
Sir ji bhut ache se smjhaya dhnyavaad 🙏🏻
@Ashu_copy_shorts
@Ashu_copy_shorts Год назад
Nice video sir and suberb explanation
@KamaldeepNijjar
@KamaldeepNijjar Год назад
Thanks dear,, Help us to grow it , suggest your knowns to subscribe us for more knowledgeable classes
@JatinKumar-pd9kc
@JatinKumar-pd9kc 2 года назад
Mja aa gya sir ji ❤️
@KamaldeepNijjar
@KamaldeepNijjar 2 года назад
Thanks Dear, Need one favour Subscribe my new channel ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-Q24BEFOynyU.html Open the link and subscribe it ✍ Hope so you will do it for your teacher ...
@ajayrakhyani212
@ajayrakhyani212 3 года назад
Sir, you are good teacher on youtube Smile kardo😅☺️
@gouravsoni299
@gouravsoni299 2 года назад
Loved, what you tech this sir...
@KamaldeepNijjar
@KamaldeepNijjar 2 года назад
Thanks Gourav,,, Do you want to join WhatsApp group for number theory,
@sincysiva2939
@sincysiva2939 3 года назад
Thank u sir it is really good...
@adibro505
@adibro505 Год назад
Helped me a lot,good one
@KamaldeepNijjar
@KamaldeepNijjar Год назад
Thanks dear, don't forget to subscribe and help us to grow it,🙏
@bhavikbansiwal5304
@bhavikbansiwal5304 Год назад
Before your video I watched around 3 to 4 videos but there was only your video that made me understand🎉🎉
@KamaldeepNijjar
@KamaldeepNijjar Год назад
Great,,, Waheguru bless us for doing the same thing for my society, And you also try to help us to share it around you
@nancymaan1104
@nancymaan1104 Год назад
Yes sir , this is very good one
@KamaldeepNijjar
@KamaldeepNijjar Год назад
Thanks dear
@FaizanIqbal-jl1cp
@FaizanIqbal-jl1cp 4 месяца назад
Good sir Best of luck...😊
@KamaldeepNijjar
@KamaldeepNijjar 3 месяца назад
Same to you
@ashusharma4700
@ashusharma4700 9 дней назад
Thanku sir bhught acha smjaya apne
@KamaldeepNijjar
@KamaldeepNijjar 8 дней назад
Thanks
@niharikasharma5438
@niharikasharma5438 3 месяца назад
Ur the best sir..❤
@KamaldeepNijjar
@KamaldeepNijjar 2 месяца назад
Thank you very much!,, give us a favor , Subscribe our new channel ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-3jYbWYJfJKE.html And help us to grow it
@its_mithu525
@its_mithu525 Год назад
Thankyou so much sir it really helped me alot and now i will continue to watch your videos regularly coz my maths is very weak tqew so much😌❤️
@KamaldeepNijjar
@KamaldeepNijjar Год назад
Thanks Dear,,,
@user-kj1tx9jm7o
@user-kj1tx9jm7o 5 месяцев назад
Yes sir good one
@Bharat63986
@Bharat63986 3 года назад
Superb.....sir..may your channel will surely attain 1 million ❤️ subscribers as soon as possible 👍🏻❤️❤️
@codewithjaat
@codewithjaat 3 месяца назад
this is good one sir thanku so much
@KamaldeepNijjar
@KamaldeepNijjar 3 месяца назад
Welcome
@puhipreigns2175
@puhipreigns2175 Год назад
Thank youu Sir Good explanation 😊☺️
@KamaldeepNijjar
@KamaldeepNijjar Год назад
Enjoy full Playlist Number Theory: ru-vid.com/group/PLMRSFZ_UaJTPeWgKzwckayuBotPK5001r Thanks dear,, Help us to grow it , suggest your knowns to subscribe us for more knowledgeable classes
@ishu6527
@ishu6527 8 месяцев назад
Thank you so much sir. Waheguru ji bless you 🙏
@KamaldeepNijjar
@KamaldeepNijjar 8 месяцев назад
Waheguru bless you too
@latestreviews5830
@latestreviews5830 Год назад
This is called a video 👌👍 Brilliant video sir ji....
@KamaldeepNijjar
@KamaldeepNijjar Год назад
Many many thanks
@bilalnadeem3213
@bilalnadeem3213 2 года назад
sir this is a very good one👌👌👌
@KamaldeepNijjar
@KamaldeepNijjar 2 года назад
Thanks dear Need one favour Subscribe my new channel ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-Q24BEFOynyU.html Open the link and subscribe it ✍ Hope so you will do it for your teacher ...
@Davidwick123
@Davidwick123 Год назад
Sir I'm from Pakistan your video is awesome tells everything very correctly
@KamaldeepNijjar
@KamaldeepNijjar Год назад
Thanks dear,, Help us to grow it , suggest your knowns to subscribe us for more knowledgeable classes🤘
@learncseasily3385
@learncseasily3385 2 года назад
Yes sir very good one
@syedahirabatoolzaidi8947
@syedahirabatoolzaidi8947 3 года назад
Thank u so much sir gcd and Linear combination bht acha smjh agya
@KamaldeepNijjar
@KamaldeepNijjar 3 года назад
Thanks
@vijayghanghas6901
@vijayghanghas6901 Год назад
thankyou yes sir it is good one 😍🥰
@KamaldeepNijjar
@KamaldeepNijjar Год назад
Thank you Dear
@Mithu499
@Mithu499 2 года назад
Wah sir ji #mukulanand
@KamaldeepNijjar
@KamaldeepNijjar 2 года назад
Wc g, Don't forget to subscribe and share it
@harmandeepsingh9405
@harmandeepsingh9405 Год назад
Sira teaching ji👍
@KamaldeepNijjar
@KamaldeepNijjar Год назад
Thanks Harmandeep
@fasana1110
@fasana1110 2 месяца назад
Excellent video 🎉
@KamaldeepNijjar
@KamaldeepNijjar 2 месяца назад
Thank you very much!,, give us a favor , Subscribe our new channel ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-3jYbWYJfJKE.html And help us to grow it
@rakhilpathania2521
@rakhilpathania2521 Год назад
You are best sir..
@KamaldeepNijjar
@KamaldeepNijjar Год назад
Thanks dear
@zeabaaqib7256
@zeabaaqib7256 6 месяцев назад
🎉very helpful 😊
@KamaldeepNijjar
@KamaldeepNijjar 6 месяцев назад
Glad it was helpful!
@Editsera9138
@Editsera9138 8 месяцев назад
Best & easy lecture to understand Thank you sir ❣️
@KamaldeepNijjar
@KamaldeepNijjar 8 месяцев назад
Thanks for liking
@amanafzal674
@amanafzal674 3 года назад
Thank you so much for this good lecture ☺️ and last lines 💖
@issuewithsumit
@issuewithsumit 3 месяца назад
good one sir
@KamaldeepNijjar
@KamaldeepNijjar 3 месяца назад
Thanks
@Dhoni7576
@Dhoni7576 Год назад
Well done sir
@KamaldeepNijjar
@KamaldeepNijjar Год назад
Thanks dear, don't forget to subscribe and help us to grow it,🙏
@a.mstudio5755
@a.mstudio5755 Год назад
Sir well done
@KamaldeepNijjar
@KamaldeepNijjar Год назад
Thanks dear for appreciation, I want to inform you that on the demand of students we have launched complete online course for Number Theory at very nominal charges , If you wish to join us in this great journey, then click on link below or whatsapp us at 9464931694 Hey! Checkout this amazing course *NUMBER THEORY* by Kamaldeep Nijjar Classes. Click to Buy now! knaqp.courses.store/250593
@manvithgowda7411
@manvithgowda7411 2 года назад
Sir seriously good one
@KamaldeepNijjar
@KamaldeepNijjar 2 года назад
It's our pleasure,,, keep smiling and keep supporting to share this knowledge around you
@babitakatwal6340
@babitakatwal6340 Год назад
Thank you so much sir😊 well explained❤
@KamaldeepNijjar
@KamaldeepNijjar Год назад
Thanks dear, don't forget to subscribe and help us to grow it,🙏
@kajalsinghthakur8552
@kajalsinghthakur8552 Год назад
Nicely explained
@KamaldeepNijjar
@KamaldeepNijjar Год назад
Thanks Kajal ,,,
@user-lp7st8wk4e
@user-lp7st8wk4e 7 месяцев назад
Yes sir this is good 👍
@Naturalbeauty-wr3mm
@Naturalbeauty-wr3mm 6 месяцев назад
I like this great method ☺️
@KamaldeepNijjar
@KamaldeepNijjar 6 месяцев назад
Thank you! 😊
@vidhidhama7757
@vidhidhama7757 3 года назад
Very good sir g 👏 👌 🙏 👍
@KamaldeepNijjar
@KamaldeepNijjar 3 года назад
Thanks,, keep smiling keep Sharing
@Lopita7btsarmy7
@Lopita7btsarmy7 Год назад
Best
@KamaldeepNijjar
@KamaldeepNijjar Год назад
Thanks dear for appreciation, I want to inform you that on the demand of students we have launched complete online course for Number Theory at very nominal charges , If you wish to join us in this great journey, then click on link below or whatsapp us at 9464931694 Hey! Checkout this amazing course *NUMBER THEORY* by Kamaldeep Nijjar Classes. Click to Buy now! knaqp.courses.store/250593
@anjalipandey8128
@anjalipandey8128 2 года назад
Yes this is the good one🤗🤗
@KamaldeepNijjar
@KamaldeepNijjar 2 года назад
Wtach the full Playlist
@ekta036csc8
@ekta036csc8 3 года назад
This is the good one sir thnks 😊
@PreetiKumari-mx2jg
@PreetiKumari-mx2jg 3 года назад
Good one
@KamaldeepNijjar
@KamaldeepNijjar 3 года назад
My pleasure 🤘give us one favour,, subscribe our new channel, we need your support, the link of channel is on home page of my channel or ru-vid.com/show-UCbVJpsQlvf_QaHWDhAc4kKQ link of new channel,and do it right now for us
@user-rq8nh2uz7d
@user-rq8nh2uz7d 7 месяцев назад
Good Hu Gia sir g well done ✅
@AsgharAli-kr3bo
@AsgharAli-kr3bo 3 месяца назад
Sir that is good one
@KamaldeepNijjar
@KamaldeepNijjar 3 месяца назад
Thanks
@SACHINKUMAR-bn2no
@SACHINKUMAR-bn2no 3 года назад
Yes sir this is good one🙂🙂🙂
@jgaj8293
@jgaj8293 Год назад
very well explain sir
@KamaldeepNijjar
@KamaldeepNijjar Год назад
Have you watched the full Playlist?? If not yet ,then must try that ,you will get much more to learn and practice
@fidaurrahman8709
@fidaurrahman8709 Год назад
Nice concept sir
@KamaldeepNijjar
@KamaldeepNijjar Год назад
Thanks dear,, Help us to grow it , suggest your knowns to subscribe us for more knowledgeable classes
@farhanbasra7098
@farhanbasra7098 2 года назад
Super bohat acha explain karty hain ap har topic ko thanks sooooo soooo much
@naeemabbas1553
@naeemabbas1553 2 года назад
Yes sir this is good one
@KamaldeepNijjar
@KamaldeepNijjar 2 года назад
Thanks Naeem 🔊 don't forget to subscribe and share it, we need your support to grow it and spread this knowledge around us✍✍✍
@aakanshakhaire7924
@aakanshakhaire7924 3 года назад
Thank you sir 🙏🙏
@h.afshanrasool6583
@h.afshanrasool6583 Год назад
Thanks sir my concept is completely cleared 🙃 but sir one question you slove this Because someone concept is missing so Ap question kar dein 😁 just 1 Gcd (8,4)= ? Write gcd and linear combination 😑😑😑
@tiktok..11
@tiktok..11 2 года назад
This is good one🤗
@KamaldeepNijjar
@KamaldeepNijjar 2 года назад
Thanks and help us to grow it
@arbabsaleem2724
@arbabsaleem2724 Год назад
Yes sir this is the good one😊😊
@KamaldeepNijjar
@KamaldeepNijjar Год назад
Thanks
@muhammadarslan6310
@muhammadarslan6310 Год назад
Well Don sir gi
@KamaldeepNijjar
@KamaldeepNijjar Год назад
Thanks
@armanpai
@armanpai Год назад
this is a good one
@KamaldeepNijjar
@KamaldeepNijjar Год назад
Thanks ,, Enjoy the full Playlist Number Theory || Division Algorithm: ru-vid.com/group/PLMRSFZ_UaJTPeWgKzwckayuBotPK5001r
@Angrybird1403
@Angrybird1403 3 года назад
Best explained sir
@motipalmeenagol7352
@motipalmeenagol7352 2 года назад
Sir,this is good one
@KamaldeepNijjar
@KamaldeepNijjar 2 года назад
Don't forget to subscribe and share it, we need your support to grow it
@sudeshmahto8472
@sudeshmahto8472 3 года назад
Thank you so much sir .......🙏🙏🙏 you are the best teacher ❤💕💖
@KamaldeepNijjar
@KamaldeepNijjar 3 года назад
My pleasure 🤘give us one favour,, subscribe our new channel, we need your support, the link of channel is on home page of my channel or ru-vid.com/show-UCbVJpsQlvf_QaHWDhAc4kKQ link of new channel,and do it right now for us
@bigbigbrother7666
@bigbigbrother7666 6 месяцев назад
this is really very good
@zaraali7479
@zaraali7479 3 года назад
Yes sir dis is a good one
@KamaldeepNijjar
@KamaldeepNijjar 3 года назад
My pleasure 🤘give us one favour,, subscribe our new channel, we need your support, the link of channel is on home page of my channel or ru-vid.com/show-UCbVJpsQlvf_QaHWDhAc4kKQ link of new channel
@naginabashir1857
@naginabashir1857 2 года назад
Congruences was really soo tough for me leakin apnay usay itna hi interesting bna diya thank you so much sir God bless you Ameen
@lovelymasih18
@lovelymasih18 4 года назад
Done sir👍..this is good one😊
@KamaldeepNijjar
@KamaldeepNijjar 4 года назад
Very good
@islamicvideos1047
@islamicvideos1047 3 года назад
Shandar sir g👍
@mallikarjunpulagore651
@mallikarjunpulagore651 3 года назад
Superb
@KamaldeepNijjar
@KamaldeepNijjar 3 года назад
Thanks
@anuranjnirmal
@anuranjnirmal Год назад
video was helpful
@KamaldeepNijjar
@KamaldeepNijjar Год назад
Thanks dear for appreciation, I want to inform you that on the demand of students we have launched complete online course for Number Theory at very nominal charges , If you wish to join us in this great journey, then click on link below or whatsapp us at 9464931694 Hey! Checkout this amazing course *NUMBER THEORY* by Kamaldeep Nijjar Classes. Click to Buy now! knaqp.courses.store/250593
@manishkumar-zj5ip
@manishkumar-zj5ip 2 года назад
Very excellent video
@gurmukhsingh6853
@gurmukhsingh6853 3 года назад
Most helpful video #thankyou sir:)
@muskanhans8894
@muskanhans8894 Год назад
Sir I'm very weak in maths nd tomorrow is my exam but you explain very perfectly that I understand each and every thing...thnku brother lord Jesus bless you 😇❤️🙏
@KamaldeepNijjar
@KamaldeepNijjar Год назад
Thanks dear for appreciation, I want to inform you that on the demand of students we have launched complete online course for Number Theory at very nominal charges , If you wish to join us in this great journey, then click on link below or whatsapp us at 9464931694 Hey! Checkout this amazing course *NUMBER THEORY* by Kamaldeep Nijjar Classes. Click to Buy now! knaqp.courses.store/250593
@kalsisclassroom8171
@kalsisclassroom8171 3 года назад
vry helpful sir .waheguru mehar kre
@Nirmal22347
@Nirmal22347 10 месяцев назад
❤❤❤ thank you so much sir for your explanation 😄😄😄🎉🎉
@education_with_motivation1169
@education_with_motivation1169 3 года назад
Osm🎯.....👍✨
@KamaldeepNijjar
@KamaldeepNijjar 3 года назад
My pleasure 🤘give us one favour,, subscribe our new channel, we need your support, the link of channel is on home page of my channel or ru-vid.com/show-UCbVJpsQlvf_QaHWDhAc4kKQ link of new channel
@education_with_motivation1169
@education_with_motivation1169 3 года назад
@@KamaldeepNijjar sure....👍
@KamaldeepNijjar
@KamaldeepNijjar 3 года назад
Thanks dear,, possible hoya te share v karr leyo
@lakshmanteja2979
@lakshmanteja2979 2 года назад
Thank you sir, take a small fan for ur comfort.l enjoyed the lecture.
@KamaldeepNijjar
@KamaldeepNijjar 2 года назад
Ok dear, Don't forget to subscribe and share it, we need your support to grow it
@PriyankaKumari-ik9ox
@PriyankaKumari-ik9ox Год назад
Explained very nicely sir😊
@KamaldeepNijjar
@KamaldeepNijjar Год назад
Thanks and welcome
@anushka2800
@anushka2800 Год назад
Best! ❤️
@sohailmian8909
@sohailmian8909 Год назад
Yes sir this is the good one👍
@KamaldeepNijjar
@KamaldeepNijjar Год назад
Thanks dear,, Help us to grow it , suggest your knowns to subscribe us for more knowledgeable classes
@paragchokekar304
@paragchokekar304 3 года назад
Thank you sir You are best 🤟
@nksingh1047
@nksingh1047 3 года назад
Nice one sir. Thanku for such an easiest explanation
@KamaldeepNijjar
@KamaldeepNijjar 3 года назад
My pleasure 🤘give us one favour,, subscribe our new channel, we need your support, the link of channel is on home page of my channel or ru-vid.com/show-UCbVJpsQlvf_QaHWDhAc4kKQ link of new channel,and do it right now for us
@jwhdhhdheueiwhdhehe
@jwhdhhdheueiwhdhehe Год назад
Shukriya bhai 💖
@deepakmehta4571
@deepakmehta4571 2 года назад
nice explanation
@KamaldeepNijjar
@KamaldeepNijjar 2 года назад
Thanks dear Need one favour Subscribe my new channel ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-Q24BEFOynyU.html Open the link and subscribe it ✍ Hope so you will do it for your teacher ...
@seemaNayak-dx7ns
@seemaNayak-dx7ns 9 месяцев назад
Yes sir this is good one❤
@kunalpagar503
@kunalpagar503 Год назад
Thank you very much sir ❤️
@KamaldeepNijjar
@KamaldeepNijjar Год назад
Thanks Dear
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