turkey-yks 2010 Q18

turkey-yks · Other · ygs Number Theory GCD, LCM, and Coprimality
On the set of positive integers, the operations $\oplus$ and $\otimes$ are defined using the greatest common divisor and least common multiple as follows:
$$\begin{aligned} & a \oplus b = \operatorname { GCD } ( a , b ) \\ & a \otimes b = \operatorname { LCM } ( a , b ) \end{aligned}$$
Accordingly, what is the result of the operation $18 \oplus ( 12 \otimes 4 )$?
A) 2
B) 3
C) 6
D) 8
E) 9
On the set of positive integers, the operations $\oplus$ and $\otimes$ are defined using the greatest common divisor and least common multiple as follows:

$$\begin{aligned}
& a \oplus b = \operatorname { GCD } ( a , b ) \\
& a \otimes b = \operatorname { LCM } ( a , b )
\end{aligned}$$

Accordingly, what is the result of the operation $18 \oplus ( 12 \otimes 4 )$?\\
A) 2\\
B) 3\\
C) 6\\
D) 8\\
E) 9