Show that gcd(a, bc) = 1 if and only if gcd(a, b) = 1 and

Chapter 0, Problem 19E

(choose chapter or problem)

Show that gcd(a, bc) = 1 if and only if gcd(a, b) = 1 and gcd(a, c) = 1. (This exercise is referred to in Chapter 8.)

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