Question

Which of the following pairs of numbers have a greatest common factor of 3 and a least common multiple of 27?

Answer 1

It does not have any pairs, this is a ACT prep question

Answer 2

its basically asking what is the greatest common factor of 3 and least common multiple of 27

Answer 3

So, basically we want to find a number that has GCF = 3 and LCM = 27..

Answer 4

So can you show me how to get these answers?

Answer 5

and yes we want to find those numbers

Answer 6

For GCF = 3:
(3,6) (3, 9) (3, 12) etc etc (Here 3 can divide 3 and 6, 9, 12 cannot divide 3, So 3 is the greatest common factor that is dividing the pairs)

For LCM:

(9, 27), (1, 27), (3, 27)

Here when you will take LCM you get 27 as a LCM in each case..

Answer 7

okay thanks so much!