Question

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

• A. 2 litres
• B. 19 litres
• C. 15 litres
• D. 17 litres

Answer 1

Answer:

D. 17 litres

This is a HCF (Greatest Common Divisor) problem.

We need the largest container that can measure both 765 L and 833 L exactly → find HCF of 765 and 833.

Apply Euclidean Algorithm

$833 - 765 = 68$

Now find HCF of 765 and 68:

$765 \div 68 = 11 \text{ remainder } 17$

Now find HCF of 68 and 17:

$68 \div 17 = 4 \text{ remainder } 0$
Final HCF

$\text{HCF} = 17$