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Four different barrels contain different quantities of oil whose measurements are 310 liters, 425 liters, 275 liters and 135 liters. What will be the biggest measure used to measure all the different quantities exactly?

Four different barrels contain different quantities of oil whose measurements are 310 liters, 425 liters, 275 liters and 135 liters. What will be the biggest measure used to measure all the different quantities exactly? Correct Answer 5

For the biggest measure, HCF need to find

Factors of 310 = 31 × 5 × 2 = 2, 5, 31

Factors of 425 = 25 × 17 = 52 × 17

Factors of 275 = 25 × 11 = 52 × 11

Factors of 135 = 27 × 5 = 33 × 5

HCF (310, 425, 275, 135) = 5

∴The biggest measure used to measure all different quantity is 5

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