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Three tankers contain 403 liters and 465 liters of diesel respectively. Find the maximum capacity of a container that can measure

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Three tankers contain 403 liters and 465 liters of diesel respectively. Find the maximum capacity of a container that can measure the diesel of three containers exact number of times.

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The maximum capacity of container = H.C.F. (403, 434, 465)

Factors of 403 = 13 x 31

Factors of 434 = 2 x 7 x 31 

Factors of 465 = 3 x 5 x 31 

H.C.F. = 31

Therefore, 31 liters of container is required to measure the quantity.

+1 vote
by (3.3k points)
HCF of 403, 434, 465 = 31
∴ the maximum capacity of container that can measure the diesel of the three containers exact number of times is 31 litres.
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