Question

What is the greatest common factor of 364 and 585?

Answer 1

`364|2\\182|2\\.\ 91|7\\.\ 13|13\\.\ \ 1|\\\\364=2\cdot2\cdot7\cdot\boxed{13}\\\\585|5\\117|3\\.\ 39|3\\.\ 13|13\\.\ \ 1|\\\\585=5\cdot3\cdot3\cdot\boxed{13}\\\\GCF(364;\ 585)=\boxed{13}`

Answer 2

13

Explanation:

I would like to share a tricky way to find it in the simplest way.

just follow the steps.

1.Take difference between the two numbers i.e. 585-364=221.

2.now find the highest number by which we can divide 221 completely.

the number you will get is 13 and it is the G.C.D of 364,585.

Hope it will help you to find GCD of other numbers also.