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(C) To find the greatest possible length that can measure the given lengths exactly,we need to find the Highest Common Factor $(HCF)$ of the given val

Vedclass · Accepted Answer

$35$

Vedclass · Answer

(C) To find the greatest possible length that can measure the given lengths exactly,we need to find the Highest Common Factor $(HCF)$ of the given values.First,convert all lengths into centimeters $(cm)$:$7 \ m = 700 \ cm$$3 \ m \ 85 \ cm = 385 \ cm$$12 \ m \ 95 \ cm = 1295 \ cm$Now,find the $HCF$ of $700$,$385$,and $1295$.Using the division method:$HCF$ of $700$ and $385$:$700 = 385 	imes 1 + 315$$385 = 315 	imes 1 + 70$$315 = 70 	imes 4 + 35$$70 = 35 	imes 2 + 0$So,$HCF$ of $700$ and $385$ is $35$.Now,find the $HCF$ of $35$ and $1295$:$1295 = 35 	imes 37 + 0$Thus,the $HCF$ of $700$,$385$,and $1295$ is $35$.The greatest possible length is $35 \ cm$.

The greatest possible length which can be used to measure exactly the lengths $7 \ m$,$3 \ m \ 85 \ cm$,and $12 \ m \ 95 \ cm$ is .......... $cm$.

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