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There are 250 and 425 liters of milk in two containers. The maximum capacity of the container which can measure completely the quantity of milk in the two containers is ____ liters.

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Detailed Solution

There are 250 and 425 liters of milk in two containers. The maximum capacity of the container which can measure completely the quantity of milk in the two containers is 25 liters.
Given that there are 250 and 425 liters of milk in two containers.
Applying Euclid’s division Lemma,
Assume, a = 425 and b =250

425 = 250 × 1 + 175 r = 175 ≠ 0

So, Dividend = 250 and divisor = 175.
Applying Euclid’s division Lemma,
Assume, a = 250 and b =175

250 = 175 × 1 + 75 H e r e, r = 75 ≠ 0

So, Dividend = 175 and divisor = 75.
Applying Euclid’s division Lemma,
Assume, a = 175 and b = 75

175 = 75 × 2 + 25 H e r e, r = 25 ≠ 0

So, Dividend = 75 and divisor = 25.
Applying Euclid’s division Lemma,
Assume, a = 75 and b = 25

75 = 25 × 3 + 0 H e r e, r = 0

Therefore, the value is 25.
Hence, the maximum capacity is 25 liters.

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There are 250 and 425 liters of milk in two containers. The maximum capacity of the container which can measure completely the quantity of milk in the two containers is ____ liters.