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Two containers contain 765 litres and 833 litres of liquid, respectively. The maximum capacity of container that can measure the liquid of both contai
Question

Two containers contain 765 litres and 833 litres of liquid, respectively. The maximum capacity of container that can measure the liquid of both containers is:

A.

21 litres

B.

19 litres

C.

15 litres

D.

17 litres

Correct option is D

Given:
First container liquid capacity = 765 litres
Second container liquid capacity = 833 litres
Concept Used:
The maximum capacity of a container that can measure the liquid from both containers is the Greatest Common Divisor (GCD) of the two numbers.
Solution:
Prime factorization of 765  = 3 × 3 × 5 × 17
Prime factorization of 833 = 7 × 7 × 17
Therefore, the HCF (Highest Common Factor) of 765 and 833 is 17.

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