2. Let b, c, d, and e be integers. If ged(c,b) = 1 and gcd(d,b) = e, then gcd(cd, b) = e. Proof/

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 20E: Let a,b,c and d be integers such that ab and cd. Prove that acbd.
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2. Let b, c, d, and e be integers. If ged(c,b) = 1 and gcd(d,b) = e, then
ged(cd, b) = e.
Proof/
Transcribed Image Text:2. Let b, c, d, and e be integers. If ged(c,b) = 1 and gcd(d,b) = e, then ged(cd, b) = e. Proof/
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