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8. Let a, b be integers. (a) Prove or disprove: a|b ⇒ a ≤ b. (b)...

8. Let a, b be integers. (a) Prove or disprove: a|b ⇒ a ≤ b. (b) Find a condition on a and/or b such that a|b ⇒ a ≤ b. Prove your assertion! (c) Prove that if a, b are not both zero, and c is a common divisor of a, b, then c ≤ gcd(a, b).

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