Question

You have 52 inches of yellow ribbon and 64 inches of red ribbon.You want to cut the ribbons into peices with no leftovers.What is the greatest length of the peices that you can make

Answer 1

52 = 2 x 2 x 13

64 = 2 x 2 x 2 x 2 x 2 x 2

therefore the greatest common factor GCF is 2 x 2 = 4 inches

hope this helps :)

Answer 2

Greatest length of pieces = 4 inches

Explanation:

We are given the following information in the question:

Length of yellow ribbon = 52 inches

Length of red ribbon = 64 inches

We have to find length of ribbon such that when it is cut into pieces it does not leave any leftover or residual.

One way to do so is we can find the highest common factor(hcf) or the greatest common divisor(gcd) of both the lengths of the ribbon.

To find hcf we use the method of prime factorization:

`52 = 2* 2* 13`

`64 = 2* 2* 2* 2* 2* 2`

Common factor = HCF =
`2* 2 = 4`

Hence, it can be said that if the yellow ribbon and the red ribbon is cut into pieces of 4 inches, they would not leave any leftover.