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Shahajiraje and Jijabai

Both these ri...

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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