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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