Question 76

Three different containers contain different quantities of a mixture of milk and water, whose measurements are 403 litres, 434 litres and 465 litres. What biggest measure mustbe there to measure all the different quantities exactly?

Solution

The volume of three containers are 403 litres, 434 litres and 465 litres.

The biggest measure that can measure all the different quantities exactly = HCF of 403, 434, 465.

403 = 13 * 31

434 = 2 * 7 * 31

465 = 3 * 5 * 31

HCF = 31

Hence, required measure = 31 litres

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