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Question

Both these ribbons are to be cut into certain pieces of equal length. What could be the maximum length (in cm) of each piece?​

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Solution

The lenght of the largest piece will be the HCF of 18 and 24.

Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Common factors: 1, 2, 4 and 6
HCF of 18 and 24 = 6 cm

Thus, lenght of the largest piece that can be cut from the ribbons will be 6 cm.

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