High School

Alannah has two lengths of ribbon. One length of ribbon is 36 cm long, and the other is 45 cm long. Alannah wants to cut the ribbons into shorter lengths that are of equal length without any ribbon left over. What is the longest possible length for each of the shorter lengths of ribbon?

Answer :

Step-by-step explanation:

Find the GCD of the two lengths give

The longest possible length for each of the shorter lengths of ribbon that Alannah can cut, without wasting any ribbon, is 9 cm.

To determine the longest possible length for each of the shorter lengths of ribbon that Alannah can cut from the two lengths of 36 cm and 45 cm, we need to find the greatest common divisor (GCD) of the two lengths.

List the Factors:

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

Factors of 45: 1, 3, 5, 9, 15, 45

Identify Common Factors:

The common factors of 36 and 45 are: 1, 3, and 9

Find the Greatest Common Factor (GCD):

The largest common factor is 9.

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