Question

HCF of the fraction 25/12 , 10/6 , 15/4 is
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Answer 1

H.C.F. of fraction is given by H.C.F. of numerator upon L.C.M. of denominator.

H.C.F. of (5, 15, 24) = 1

L.C.M. of (6, 8, 32) = 96

So H.C.F. of (5/6, 15/8, 24/32) = 1/96.

Answer 2

Concept:

To find the HCF of fraction we can find the HCF (Highest Common Factor) of numerators and LCM (Least common multiple) of denominators, and at last we can divide the final HCM by LCM or can let them stay in fractional form if we want the answer in fraction.

Given:

We have given 3 fractions which are 25/12 , 10/6 and 15/4.

Find:

We have to find the HCF of the above given three fractions.

Solution:

According to the concept described above

HCF of fractions = ( HCF of numerators / LCM of denominators )

HCF of 25/12 , 10/6 and 15/4 = ( HCF of 25, 10 and 15 / LCM of 12, 6, 4 )

The HCF of 25, 10 and 15 will be 5.

The LCM of 12, 6 and 4 will be 12.

So,

HCF of 25/12 , 10/6 and 15/4 =  5 / 12

Hence, the HCF of the fraction 25/12 , 10/6 and 15/4 will be 5/12.

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