There are 250 and 425 litres of milk in two containers. What is the maximum capacity of the container which can measure completely the quantity of milk in the two containers?
Given :
The quantity of milk in the given containers is 250 litres and 425 litres.
To find :
We have to find the maximum capacity of the container which can measure completely the quantity of milk in the two containers.
Solution :
The highest common factor of 250 and 425 is the maximum capacity of the container which we required.
Prime factorization of $250 = 2 \times 5 \times 5 \times 5 = 2 \times 5^3$.
Prime factorization of $425 = 5 \times 5 \times 17 = 5^2 \times 17$.
HCF $=$ Smallest power of common prime factor.
HCF $=5^2 = 25$.
Therefore, the maximum capacity of the container which can measure completely the quantity of milk in the two containers 25 litres.
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