Math, asked by Nikriz6836, 1 month ago

Show that a and b be integers, not both zero. Then there exist integers x and y such that (a,b) = xa +yb

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Answered by AmanRatan
2

Answer:

by AM Cohen · Cited by 69 — ... b by gcd(a, b). Analogous to the greatest common divisor of two integers we can ... Remark. The integers x and y with xa + yb = gcd(a, b) are not unique: of course, ... Proof. There exist integers x and y such that xa + yb = 1. Multiply this relation ... Prove: If a and b are integers, not both zero, and c = gcd(a, b), then c = min{xa ...

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