Question

Aling Gracia has 3 rolls of cotton spandex fabrics, that are 27 m, 30 m, and 33 m long, respectively. She cuts the fabrics such that the same lengths possible. What was the maximum possible lengths of each cut of fabrics?​

Answer 1

Length of the first roll of fabric = 27 m

Length of the second rool of fabric = 30 m

Length of the third roll of fabric = 33 m

To find the maximum length of each fabric when each of them were to be cut equally , we have to find the HCF of all the lengths of fabric rolls .

Which means :-

Factors of 27 = 1,3,9,27

Factors of 30 = 1,2,3,5,6,10,15,30

Factors of 33 = 1,3,11,33

The greatest common factor = 3

This means that 3 m is the maximum length possible .

Therefore , the maximum possible length of each fabric , such that they are equal =

$\color{hotpink} = 3 \: m$