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Euclid's Division Algorithm

A lisha has t...

Question

A lisha has three roll of streamers to use in decorating the school gym for a dance competition. The red roll is $42 m$ long, yellow roll is $49 m$ long and the green roll is $63 m$ long. She wants to cut the roll into strips of equal length and have no materiel left over. What is the greatest length of each strip?

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Solution

The greatest length of each strip $= H C F (42, 49, 63) = 7 m$

$∵ 42 = 6 \times 7$

$49 = 7 \times 7$

And $63 = 9 \times 7$

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