What is the \(\rm GCD\) of the numbers \(3, a,\) and \(12,\) if \(a\) is an integer and \(a \ge 3?\)

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What is the \(\rm GCD\) of the numbers \(3, a,\) and \(12,\) if \(a\) is an integer and \(a \ge 3?\)

1. \(a\) is a prime number greater than \(2.\)
2. Both \(\rm GCD(3, a)\) and \(\rm LCM(3, a)\) are factors of the number \(30.\)

Answer: E

Source: e-GMAT
Source: — Data Sufficiency |