Question

there are three barrels having diesel of 24 liters 36 liters and 48 liters find the container of the highest measurement that can fill the diesel of the all the three barrels in whole numbers ​

Answer 1

SOLUTION

GIVEN

There are three barrels having diesel of 24 litres 36 litres and 48 litres

TO DETERMINE

The container of the highest measurement that can fill the diesel of the all the three barrels in whole numbers

EVALUATION

Here it is given that there are three barrels having diesel of 24 litres 36 litres and 48 litres

Now we have to find the container of the highest measurement that can fill the diesel of the all the three barrels in whole numbers

The required highest measurement is the HCF of 24 litres, 36 litres and 48 litres

Here

$24 = 2 \times 2 \times 2 \times 3$

$36 = 2 \times 2 \times 3 \times 3$

$48 = 2 \times 2 \times 2 \times 2 \times 3$

∴ HCF of 24 , 36 , 48 = 2 × 2 × 3 = 12

Hence the container of the highest measurement that can fill the diesel of the all the three barrels in whole numbers = 12 litres

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