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Question

THREE CANS OF WATER CONTAINS 527 LITRES, 646 LITRES, AND 748 LITRES OF WATER RESPECTIVELY.FIND THE CAPACITY OF THE BIGGEST CONTAINER WHICH CAN MEASURE THE WATER IN THESE THREE CANS EXACTLY.

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Solution

no. of cans:3

capacity of 1st can:527litres

capacity of 2nd can:646litres

capacity of 3rd can:748 litres

largest container that can measure all the above cans exactly is equla to the HCF of three number.

HCF of 527 , 646 and 748 is 17

as 17 can divide all the three numbers.

therefore answer = 17 litre


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