The Extended Euclidean algorithm

[@Adir9]

One of the best explanations. Can't understand why professors have such hard time explaining this, looks so simple here! Thanks a lot.

[@roobiki4494]

It would be nice if one day we get to the place where we can celebrate a job well done by one educator, without turning around and shitting on others.

[@matthewRR03]

@@roobiki4494 It's a valid criticism of other educators. Especially considering that the most arrogant and self-righteous ones are always the worst at teaching.

[@mg7753]

Finnaly a good explanation, it's such an easy concept but pretty hard to grasp.

[@bruhmannen7400]

Thank you so much for this clear explanation! I have struggled with this algorithm for a while, but you made it so easy to understand!

[@illlanoize23]

this isn’t too bad but my teacher wants to make it hard talking at 5000mph smh thank you so much

[@ekstrand26]

Thank you!!!!! Like seriously I have been pulling my hair out trying to understand this. This video actually made it simple and easy to understand. I appreciate what you did, and it made the whole process MUCH easier!!

[@thechesslobster2768]

Excellent stuff. Between your Multiplicative inverses video, and this one, you've helped me greatly in my Cryptography and Security class.

[@coxandrewj]

My lands. I cannot tell you how much time I have spent trying to understand this. This finally, finally, finally, gave me the explanation I needed.

[@LastCaressTube]

Finally a resource that clearly explains what's going on in finding the coefficients of a linear combination. Well done!

[@greciangirl75]

I was in homework panic and couldn't find a clear explanation on the Extended Euclidean algorithm. This is one of the clearest explanation I had on the topic. Thank you soooo much!

[@alexishayes713]

OMG!!!!! THANK YOU SO MUCH!!! I kept getting stuck on the step towards the last step and you just explained it to where the other vids I watched just neglected to explain that step!

[@ionmech]

Thank you so much, I went into office hours and he seemed to giggle that it did not make sense to me from the one example we worked in class like this, but now I actually get it!

[@MrDivad006]

Excellent explanation, an annotation to the next video at the end would be cool..

[@Fun_maths]

This helped so much with a problem I needed to tackle in a week and had no idea, thanks so much!

[@ksdivya100]

Thank u so much. I was literally scratching my head learning this in class!

[@lindeanchuang8115]

Thanks a million. Your explanation is very clear. It helps me a lot since I will take the midterm exam tomorrow.

[@aipro8091]

omg Tysm, I was studying affine cipher and I didn’t even know number theory existed and this made it so easy to understand and to decrypt affine ciphers. Thank you

[@BaD8DeviL]

I've read a book many times + I watched many videos..
but this one was the best explaining this algorithm !!
thanks a lot ;)

[@nathanstewart7792]

I know this video is from 2014 but I just watched this to make sense of my Discrete Math 2 class and wanted to say thank you for explaining this in such a simple way that makes perfect sense!

[@TheHeadlets]

Thank you so much for this video! Extremely helpful and clear explanation.

[@wyattflippin7610]

Thank you so, so much! I had such a hard time grasping the weird arithmetic of these problems until I ran into your video

[@traj250]

Got my discrete math midterm tomorrow, thank you so much, this was super helpful!

[@etienne8397]

thank you so much for the video. I finally understood this concept now!

[@user-kf8dt7bb9u]

This was the best explanation I receive on this subject.

[@jamiejohnson8144]

Excellent explanation...great step-by-step instructions!

[@HouseOrigins]

School got me all mixed up with complicated terms and you made it so easy to grasp, thank you!.

[@manaoharsam4211]

You did a fantastic job. Good teaching.

[@benballier9580]

My professor finished 3 problems and sped through the 2nd portion (the harder part) of these problems in less time than this video is in length.
Thank you for taking the time to explain it carefully. Better to fully understand one problem than to be confused while the professor rushes through 3.

[@DoctorRV]

brilliant explanation..been struggling with this over a day and here we are done in just 12 mins..Thanks a lot!!

[@anikatabassum1828]

Thank you so much. By far the best explanation.

[@user-rp9yj6fq1s]

You sir are a legend. Made such a complicated topic to me easy.

[@sub2910k]

Thank you so much. I was having such a hard time understanding how it works when you go backwards.

[@killjason1049]

best video that efficiently explained the concept, thanks

[@alvinkangoo2857]

This is the best explanation for the Extended Euclidean Algorithm. Thank you very much for this. Greatly appreciated.

[@pattanaik1007]

Well explained. This is by far the simplest I have seen. Thank you for posting. :)

[@michaelhanna1362]

Thank you very much, your video was very helpful explaining the concept that I was having trouble grasping in Discrete Mathmatics.

[@enya_yurself]

you have no idea how many times i have rewatched this over the past few years
i keep forgetting :(

[@ThatWasherNerd]

Absolutely excellent explanation! Definitely will help my on my final this Friday!

[@avyakthaachar2.718]

Great explanation. Thank you so much 🙏

[@NB19273]

very clear and well structured explanation, thanks a lot :)

[@yifuxero5408]

In the last example he wanted 1180/482. Using a ;pocket calculator this reduces to 241/590. Write out the continued fraction representation = [2, 2, 4, 3, 8] and underneath write the convergents, = [1/2, 2/5, 9/22, 29/ 71, 241/590] For an odd number of convergents (we have 5), the rule is to extract the denominatlor to the left of the rightmost denominator, that is, 71. That's the answer as stated in the lesson.

[@etelemeszaros4252]

Thanks man! you helped me a lot! greetings from Hungary!

[@jerricaflanagan7928]

This is a much better explanation than my teacher. Thank you!

[@connorheckman6675]

immensely helpful. Thank you good sir

[@Themostbeautyful]

Dude you are the best, thanks a lot!

[@josuegialis8146]

Extremely helpful. Thank you.

[@mksarav75]

Thank you. Beautifully explained.

[@swapanjain892]

This is really well explained.

[@dripfire2396]

Thanks for the concise explanation

[@SavagiebeatsZw]

thank you for the clear workings

[@DM-su6li]

This was incredibly useful, thank you

[@elhopper3735]

Thanks! Very helpful and easy to understand

[@kp8378]

Thanks man!!
Help alot!!

[@harrisondong5405]

good explanation! hope to add more explanation on how to calculate x and y in extended euclidean algorithm

[@KnightDark1233]

Thanks this might be a dumb question but is there a way to construct a matrix and row reduce the augmented matrix to find the weights?

[@wodeybrown1748]

Great explanation!

[@theCheug]

I have a test tomorrow and this was the only concept that I was just not grasping at all. I now understand it completely. THANK YOU.

[@sheesh602]

what did u get on the test 👀

[@bindumenon249]

It is indeed a beautiful explanation. It helped me a lot

[@SekiroOnSwitch]

Wonderfully explained, thank you.

[@rafatashraf3669]

Best video on CZcams on this topic . Thanks ....

[@Kevin-gm9ll]

such an amazing video thank you!

[@deven700]

helped me out alot; thank you

[@FoamySoaps]

Oh thank-you so much. I was looking all over how to do this

[@black_thorned_roses]

Thank you SO MUCH! I think I actually understand it now

[@MohitSelly]

Thank you sir, it really helped alot

[@erinsteal]

Thank you , really helpful. :)

[@humaidahmedabuzinjal6257]

thanks to this video, i passed my finals exam on my number theory class

[@harshithramamurthy2820]

Hello Sir,
Could you please tell me why is it important to do extended Euclidean algorithm? You said well find that out in a next video but couldn't find any video. Please help!

[@matt4825]

this is amazing. Thank you so much! I had been stuck for hours!

[@azzahrah5791]

Thanks. It helps me a lot

[@Abobimasamasa]

Great tutoring,wish you were my Lecturer

[@beppenonantola216]

Thanks. Very clear!!!

[@asfandalikhan6269]

That was helpful, Thank you :)

[@ammaryildirim7721]

9 years later here to thank you for your perfect explanation!

[@Blueaspen391]

what is the benefit of expressing the gcd as a linear combination?

[@shadowgaleshale9218]

didnt get it until i found this video. thank u

[@user-ro1cc8tz6d]

you're truly a good person. be proud!

[@andrewmartin6971]

At around 9:40, what do you do if the other number isn't used in the eclidean algorithm?

[@TechnoDB]

Awesome..
Thank You

[@falakamin6387]

perfect explanation!!

[@timothymchale7710]

Excellent video describing how EEA is used to solve gcd(a,b) = ax+by for {x,y}

[@wusimpl2594]

easy to understand, tks!

[@ashuashu8154]

Thanku sir it's too easy to understand . Well explained .

[@sonicrocks2007]

Best Explanation online.

[@RondellKB]

This was extremely helpful, thanks a lot

[@mukulrawat9921]

well explained sir !!!

[@lightphobe]

Great video! Thank you so much for the wonderful explanation :)

[@ioanaamariucai4136]

thank you ! it was really helpful :)

[@malharjajoo7393]

So basically this is just backsubtitution.

[@kyleMcBurnett]

Thank you soo much!

[@maialenb5969]

Thank you!

[@DUDE09JWEJVNUIBYUHBU]

you're fucking amazing i searched like 2 hours for explain how to do this and all the others was so understandble and when i watched that i just so quick understood it your explains are so good thank you so much you are awsome!!!!!!!!!

[@thecatoftime8152]

brilliantly explained

[@JunglebuddySlaVa]

Awesome video!

[@nt9864]

You're the best best best omggg this helped me so much thanks a lot! 😭❤❤

[@Ravel1299]

Great work, thank you!

[@LUV04111]

thank you so much!!

[@avizzzy]

Not only the best explanation but also the easiest way to remember the steps.

[@cwsumit]

Very helpful thanks

[@NPOCrushader]

THANK YOU! Wish my math teacher was able to teach this half as good....

[@toshikalata8761]

Thanks amazing explanation