Answer
The Greatest Common Divisor is 2.
The Least Common Multiple is 27,432
Work Step by Step
First, prime factor both numbers.
The prime factorization of 216 is $2^{3}$ x $3^{2}$
The prime factorization of 254 is 2 x 127.
The GCD is what is common to both sets. There is a single factor of 2 common to both sets. Therefore, 2 is the GCD.
The LCM is everything in both prime factorizations. So we have $2^{3}$ x $3^{2}$ x 127. Since we already have a 2 in the first prime factored number, we don't repeat it. Therefore the LCM is 27,432
