Question

There are 3 containers of kerosene containing 210 L, 350 L and 420 L respectively. Find the largest capacity of a bucket
which can measure the kerosene of all the tankers in exact number of times.

Answer 1

Answer:

70L

Step-by-step explanation:

as all 210,350&420 are divisible by 70L.

Answer 2

Answer:

70 L

Step-by-step explanation:

To determine the largest bucket capacity which can measure each container exactly, you need to find the HCF (highest common factor) of 210, 350 and 420.

First, factorize the 3 numbers

210 = 2 x 3 x 5 x 7

350 = 2 x 5 x 5 x 7

420 = 2 x 2 x 3 x 5 x 7

To find the HCF pick the common factors among the three numbers

210 = 2 x 3 x 5 x 7

350 = 2 x 5 x 5 x 7

420 = 2 x 2 x 3 x 5 x 7

HCF = 2 x 5 x 7 = 70

Hence, a bucket of 70 litres would be required to measure the kerosene in each tanker exactly