Three ropes of different lengths 4m78cm, 2m48cm and 3m28cm are to be cut into
equal lengths. What is the greatest possible length of each piece?
Answers
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The greatest possible length of each piece is the length of the shortest piece itself! That is, 2m48cm.
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8
Answer:
the greatest possible length of each piece is 2 cm.
Step-by-step explanation:
We have been given the lengths of the ropes:-
4m78cm = 478 cm
2m48cm = 248 cm
3m28cm= 328 cm
The greatest possible length of each piece will be the HCF of the length of the ropes.
Hence, let us find the HCF of the 478, 248 and 328
478 = 2 • 239
248 = 2^3 • 31
328 = 2^3 •41
Hence, the HCF is 2.
Therefore, the greatest possible length of each piece is 2 cm.
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