If x and y are positive integers, and 1 is the greatest common divisor of x and y, what is the greatest common divisor D of 2x and 3y?
Choose the correct choice from the following options:	A) 1	B) D=Cannot be determined	C) 2	D) 5	E) 6
My explanation: from question stem we know that nothing is common between X and Y , X and Y are two prime numbers eg: X=2, Y=3 and their GCD(2,3) =1 and so 2X and 3Y will have a GCD(2X,3Y) = 1 . what if either X or Y was 1, eg: X=1,Y=4 then GCD(1,4) =1 , but GCD(2,12) = 2.   and hence answer D=Cannot be determined
<result>B</result>
If x and y are positive integers, and 1 is the greatest common divisor of x and y, what is the greatest common divisor D of 2x and 3y?