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(a) If a and b are positive integers, then show that gcd(a, b) ≤ a and...

(a) If a and b are positive integers, then show that gcd(a, b) ≤ a and gcd(a, b) ≤ b.

(b) If a and b are positive integers, then show that a and b are multiples of gcd(a, b).

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