There are 250 and 425 liters 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 capacities of the two containers are 250 L and 425 L.

Here, 425 > 250

Now, we divide 425 by 250.

We used Euclid’s division lemma.

425 = 250 × 1 + 175

Here, remainder r = 175 ≠ 0

So, the new dividend is 250 and the new divisor is 175, again we apply Euclid division algorithm.

250 = 175 × 1 + 75

Here, remainder r = 75 ≠ 0

On taking the new dividend is 175 and the new divisor is 75, we apply Euclid division algorithm.

175 = 75 × 2 + 25

Here, remainder r = 25 ≠ 0

On taking new dividend is 75 and the new divisor is 25, again we apply Euclid division algorithm.

75 = 25 × 3 + 0

Here, remainder is zero and divisor is 25.

So, the HCF of 425 and 250 is 25.

Hence, the maximum capacity of the required container is 25 L.