Question

there are 3 oil tanks contain 51 litres and 136 litre and 289 what is the maximum capacity which can be used to empty
oil in the tanks in exist number of time

Answer 1

To find HCF or highest common factor or GCF or greatest common factor, see second picture.

Answer 2

Answer:

The maximum capacity to be used to empty the oil tank = 17liters

Step-by-step explanation:

Given,

Three oil tanks contain 51liters, 136 liters, and 289 liters

To find,

The maximum capacity to be used to empty oil in the tanks.

Solution:

The maximum capacity to be used to empty the oil tank = The highest common factor of 51,136 and 289

The prime factorization of 51 =  3 × 17.

The prime factorization of 136 = 2 ×2×2× 17.

The prime factorization of 289 = 17×17

The highest common factor of 51,136 and 289 = 17

HCF(51,136,289) = 17

The maximum capacity to be used to empty the oil tank = 17liters

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