Question: For all integers a, b, c, prove that GCD(a, c) = 1 and GCD(b, c) = 1 if and only if GCD(ab, c) = 1.

For all integers a, b, c, prove that GCD(a, c) = 1 and GCD(b, c) = 1 if and only if GCD(ab, c) = 1.

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