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Let a; b 2 Z . (a) Prove that gcd(a, b) divides gcd(3a+b, a^3) (b) Prove or disprove: gcd(a, b) = gcd (3a+b, a^3)

Let

a; b

(a) Prove that gcd(a, b) divides gcd(3a+b, a^3)

(b) Prove or disprove: gcd(a, b) = gcd (3a+b, a^3)

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