φ(gcd(a, b))φ(ab) = gcd(a, b)φ(a)φ(
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Given φ(gcd(a, b))φ(ab) = gcd(a, b)φ(a)φ(b).
prove that if φ(ab) = φ(a)φ(b), then gcd(a, b) = 1.
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