Question

What is tha capacity of the largest vessel which can empty the oil from three vessels containing 32 litters 24 liters and 48 liters an exact number of times

Answer 1

Question:-

What is tha capacity of the largest vessel which can empty the oil from three vessels containing 32 litters 24 liters and 48 liters an exact number of times

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By prime factorization

factors of 32=2×2×2×2×2

factors of 24=2×2×2×3

factors of 48=2×2×2×2×3

HCF=2×2×2

HCF=2×2×2=8

the capacity of the largest vessel which can empty the oil from three containers is 8..

hope it helps you

Answer 2

• The capacity of the largest vessel that can empty the oil from three vessels containing 32 litres 24 litres and 48 litres an exact number of times is equal to 8 litres .

Given :-

• Capacity of three oil vessels = 32 litres, 24 litres and 48 litres .

To Find :-

• The capacity of the largest vessel which can empty the oil from these vessels ?

Solution :-

The capacity of the largest vessel which can empty the oil from given three vessels is equal to HCF of capacity of three vessels.

So,

→ The capacity of the largest vessel = HCF(32, 24, 48)

Now, finding HCF by prime factorization method we get,

→ 32 = 2 × 2 × 2 × 2 × 2

→ 24 = 2 × 2 × 2 × 3

→ 48 = 2 × 2 × 2 × 2 × 3

then,

→ HCF = 2 × 2 × 2 = 8 .

therefore, we can conclude that, the required capacity of the largest vessel is equal to 8 litres .

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