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Three containers contain litres, liters, litres of milk. What biggest measure can measure exactly the milk in the three containers?

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answer is D.

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Detailed Solution

Three containers contain

litres,

litres of milk. We need to find the biggest measure that can measure exactly the milk in the three containers.
The biggest possible measurement is a mug of

litres.
This means

can fully divide all three volumes of the container of

litres,

litres.

becomes the common divisor of

.
We need to find the greatest possible value for x which means x has to be the greatest common divisor of

.
We find the GCD of those numbers.

We can see that the greatest possible divisor will be

divides all three of them.
Therefore, the biggest measure that can measure exactly the milk in the three containers is

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