Question

GCF is used to simplify fractions. If you were simplifying the fraction divide the numerator and denominator by? 40 64 what GCF would you​

Answer 1

Answer: 8

Step-by-step explanation:
The GCF is literally the largest common factor a set of numbers have in common. So for the two numbers we have, 40 and 64, let’s factor them into primes to find the GCF.

40 -> 2 * 20 -> 2 * 2 * 10 -> 2 * 2 * 2 * 5

64 -> 2 * 32 -> 2 * 2 * 16 -> 2 * 2 * 2 * 8

And I’m going to stop factoring here because I know that 5 is prime in 40, and I see that both 40 and 64 share 2*2*2 which is 8.

So if for example I was to say 40/64, I could rewrite this as (8*5)/(8*8) which I can simplify to 5/8 because of the GCF of 8.

Cheers.