Question

1/3, 2/9, 5/6, 4/27 का HCF

Answer 1

the hcf of 1/3,2/9,5/6,4/27 is 1/3

Answer 2

The HCF of the given fractions is 1/54.

Given:

4 fractions: 1/3, 2/9, 5/6, 4/27

To Find:

the HCF of the given fractions

Solution:

we know that the HCF of fractions is given as-

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

hence, HCF of 1/3, 2/9, 5/6, 4/27 = (HCF of 1, 2, 5, 4)/(LCM of 3, 9, 6, 27)

HCF of 1, 2, 5, 4 = 1

now, 3 = 3 × 1

9 = 3 × 3

6 = 3 × 2

27 = 3 × 3 × 3

⇒ LCM = 3 × 3 × 2 × 3 = 54

hence, HCF of 1/3, 2/9, 5/6, 4/27 = 1/54

Thus, the HCF of the given fractions is 1/54.

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