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Question

Equal sizes of ribbon tape are to be cut from two cotton rolls of length 16 m and 18 m. Find the largest size of the ribbon tape such that there is no leftover.

A
1 m
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B
2 m
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C
3 m
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D
4 m
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Solution

The correct option is B 2 m
The largest possible size of the ribbon tape with no leftover is given by the greatest common factor of 16 m and 18 m.

Using prime factorization,
16=2×2×2×2
18=2×3×3

GCD =2

Hence, the size of the largest possible ribbon tape is 2 m.


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