Let a, b, c Z+ with c = gcd(a, b). Prove that (ab)(c) = (a)(b)c.

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Let a, b, c ∈ Z+ with c = gcd(a, b). Prove that
ϕ(ab)ϕ(c) = ϕ(a)ϕ(b)c.

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Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

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Question Posted: Jun 21, 2016 08:38 AM

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Let a, b, c Z+ with c = gcd(a, b). Prove that (ab)(c) = (a)(b)c.

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Proof Let a p 1 m1 p 2 m2 p t mt and b p 1 n1 p 2 n2 p t nt where p 1 p 2 p t are ...View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

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