High School

A red ribbon spool has 22,608 inches of ribbon, and a blue ribbon spool has 10,206 inches of ribbon. The ribbons on both spools are to be divided into pieces of the same length so that the pieces are as long as possible.

What is the length of each piece? (Provide an integer value without any units).

Answer :

The required length of each piece is 18 inches.

How to find HCF?

The highest common factor (HCF) is found by listing all the common factors of two numbers and choosing the highest one. The required length of each piece is 18 inches.

Given that,

Length of red ribbon spool = 22,608 in

Length of blue ribbon spool = 10,206

To find the required length of each piece we should find the highest common factor (HCF) of the length of a piece of both ribbons.

22, 608 = 1,2,3,4,5,6,8,9,12,16,18,24,36,48,72 .....

10,206 = 1,2,3,6,7,9,14,18,21,27,42,54,63 .......

Common factors are 1,2,3,6,9,18

Therefore, HCF = 18

Hence, the required length of each piece is 18 inches.

To learn more about HCF, refer to:

https://brainly.com/question/19189930

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