Math, asked by lalitdragon85, 9 months ago

there are 3 drums containing 42 litres , 70 litres and 98 litres of water. Find the capacity of the largest container that can be used to measure water in the 3 drums by the exact number of times.

Answers

Answered by mhanifa
16

Answer:

14 l

Step-by-step explanation:

Let's get prime factors of given numbers:

  • 42=2*3*7
  • 70=2*5*7
  • 98=2*7*7

As per prime factors, HCF of given numbers gives us the capacity of the largest container:

  • HCF(42,70,98)=2*7= 14

So 14 liter container can be used to measure the volume of all three drums.

  • 42l - 3 measures
  • 70l- 5 measures
  • 98l- 7 measures
Answered by Anonymous
8

Answer:

14 litres

Step-by-step explanation:

Let's get prime factors of given numbers:

42=2x3x7

70=2x5x7

98=2x7x7

As per prime factors, HCF of given numbers gives us the capacity of the largest container:

HCF(42,70,98)=2x7= 14

So 14 liter container can be used to measure the volume of all three drums.

42litres - 3 measures

70litres- 5 measures

98litres- 7 measures

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