Show that if a, b, and m are integers such that m ≥ 2 and a ≡ b (mod m), then gcd(a, m) = gcd(b, m).

Show that if a, b, and m are integers such that m ≥ 2 and a ≡ b (mod m), then gcd(a, m) = gcd(b, m).

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