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a.) Let a and b are positive integers. Prove that (a,b) = 2(a/2, b/2).

a.) Let a and b are positive integers. Prove that (a,b) = 2(a/2, b/2).

Elements Of Modern Algebra
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 24E: Let (a,b)=1. Prove that (a,bn)=1 for all positive integers n.
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a.) Let a and b are positive integers. Prove that (a,b) = 2(a/2, b/2).
Transcribed Image Text:a.) Let a and b are positive integers. Prove that (a,b) = 2(a/2, b/2).
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