Which greatest possible length can be used to measure exactly $15 m$ $75 c m, 11 m$ $25 c m$ and $7 m$ $65 c m$ ?

45 c m

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55 c m

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244 c m

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255 c m

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Solution

The correct option is A $45 c m$
We need to find out the HCF for given length.
$15 m$ $75 c m = 1575 c m$
$11 m$ $25 c m = 1125 c m$
$7 m$ $65 c m = 765 c m$
$1575 = 5 \times 5 \times 3 \times 3 \times 7$
$1125 = 5 \times 5 \times 5 \times 3 \times 3$
$765 = 5 \times 3 \times 3 \times 17$
HCF of $1575, 1125$ and $765$ is $45.$

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