Find the g.c.f. and l.c.m. of the sets of numbers {9, 12, 14}.
A) 1; 1512
B) 1; 504
C) 3; 2,052
D) 1; 252
E) 20; 1,200

Question

Quizplus · Accepted Answer

To find the GCF, we need to find the greatest common factor of 9, 12, and 14. The only factor they have in common is 1, making the GCF 1. 
To find the LCM, we can use prime factorization: 
9 = 3^2 
12 = 2^2 * 3 
14 = 2 * 7 
LCM = 2^2 * 3^2 * 7 = 252. 
Therefore, the answer is choice D, with a GCF of 1 and an LCM of 252.

Find the G