Скачать или смотреть Number Theory Part 7: GCD, Euclidean Algorithm & Bézout’s Identity | Maths With Sandeep Bhatt

Number Theory — Greatest Common Divisor (GCD), Euclidean Algorithm & Bézout’s Identity 🔥

In this lecture, Sandeep Bhatt (Maths With Sandeep Bhatt — Powered by OM SCIENCE CLASSES) explains the greatest common divisor, the Euclidean algorithm, the existence & uniqueness of gcd, Bezout’s identity, and back-substitution examples — all with clear step-by-step proofs and solved examples.

Perfect for: B.Sc. Maths (Hons.), BCA, B.Sc. (IT), Physics (Hons.), Chemistry (Hons.), B.Tech students, and aspirants preparing for UPSC (Maths optional), NET, JRF, State PSC and other competitive exams.

This video covers:

Definition of gcd and examples (gcd(48,18), gcd(7,13), gcd(25,0))

Euclidean Algorithm (with worked examples: 48,18; 65,40; 56,20)

Proof of existence & uniqueness of gcd using Euclidean Algorithm and well-ordering

Expressing gcd as a linear combination (extended Euclidean / back-substitution)

Bézout’s Identity and minimal positive linear combination property

Corollary: set of integer linear combinations = dℤ

Why watch: build a rigorous foundation for number theory topics frequently asked in university exams and competitive tests.
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