If \(a\) and \(b\) are positive integers divisible by \(6,\) is \(6\) the greatest common divisor of \(a\) and \(b?\)

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If \(a\) and \(b\) are positive integers divisible by \(6,\) is \(6\) the greatest common divisor of \(a\) and \(b?\)

(1) \(a = 2b + 6\)

(2) \(a = 3b\)

Answer: A

Source: Manhattan GMAT