Master the Extended Euclidean Algorithm to Find GCD πŸ”

Learn how to use the Extended Euclidean Algorithm to efficiently compute the Greatest Common Divisor (GCD) of two positive numbers. Perfect for understanding number theory and solving related problems!

Master the Extended Euclidean Algorithm to Find GCD πŸ”
Quoc Dat Phung
4.2K views β€’ Mar 17, 2025
Master the Extended Euclidean Algorithm to Find GCD πŸ”

About this video

In this video, I will explain the extended euclidean algorithm to find the GCD of two positive numbers. The GCD is the greatest common divisor. This is the extension of the Euclidean Algorithm because it involves a formula GCD(a,b) = ax + by where after you find the gcd, you have to find Bezout's coefficients such that the equation is satisfied. The extended Euclidean Algorithm has lots of applications in science and engineering. Students typically learn this in Discrete Math classes.

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4.2K

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Duration

8:56

Published

Mar 17, 2025

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