Prove that Euclid’s algorithm always stops and produces gcd(a, b).

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.4: Prime Factors And Greatest Common Divisor
Problem 16E
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Prove that Euclid’s algorithm always stops and produces
gcd(a, b).

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