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

[Gmat_mission]

What is the 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 GCD \((3, a)\) and LCM \((3, a)\) are factors of the number \(30.\)

Answer: E

Source: e-GMAT