Number Theory and Geometry -- Euclid's algorithm and Bezout's identity

In this video we do some examples of Euclid's algorithm and we reverse Euclid's algorithm to find a solution of Bezout's identity. At the end of the video we prove a fundamental consequence of Bezout's identity, namely Euclid's lemma which will be a fundamental ingredient in the proof of the Fundamental Theorem of Arithmetic.

The content of this video corresponds to Sections 2.5, 2.6 and 2.7 of my book "Number Theory and Geometry" which you can find here: