Question

Gcd of 60 and 140?

is there a short way of finding the answer ?

Answer 1

The greatest common divisor of 60 and 140 is 20.

Explanation:

The most common way to find GCDs for small-ish numbers is to find factors of the smaller number (in this case, 60), and find the highest factor that will factor into the larger number (140).

List factors of 60:

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divide 140 by each, starting with the highest one and working down. The first time that you divide and get a whole number, you have found the greatest common divisor.

`140/60=14/6=2 1/3`. 60 does not work.

`140/30=14/3=4 2/3`. 30 does not work.

`140/20=14/2=7`. 7 is a whole number, therefore 20 works.

20 is thus the greatest common divisor of 60 and 140.