Three different containers contain 403 L , 434L , 465 L, of milk respectively. Find the capacity of a container which can measure the milk of all the containers in an exact number of times .

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Solution

To find the maximum capacity of the container that can measure the diesel of three tankers we have to take their HCF
Factors of 403 = 1, 13, 31, 403
Factors of 434 = 1, 2, 7, 14, 31, 62, 217, 434
Factors of 465 = 1, 3, 5, 15, 31, 93, 155, 465
Highest common factor of 403, 434 and 465 is 31.
Hence the maximum capacity of the container should be 31 litres.

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