HCF and LCM of Fractions

In this class, We discuss HCF and LCM of Fractions.

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The reader should have prior knowledge of HCF and LCM. Click Here.

HCF of fraction numbers:

HCF = HCF of numerators/ LCM of denominators

LCM of Fraction numbers:

LCM = LCM of numerators/ HCF of denominators

Example:

2/3, 8/9, 16/81, 10/27

HCF = HCF(2, 8, 16, 10)/ LCM(3, 9, 81, 27)

HCF = 2/81

Checking the HCF value

HCF should divide exactly all the numbers.

(2/3) / (2/81) = 27 exactly divisible.

similarly, other numbers are also divisible.

LCM = LCM(2, 8, 16, 10)/ HCF(3, 9, 81, 27)

LCM = 80/3

Check the LCM value

The LCM should be exactly divisible by all the numbers.

(80/3) / (16/81) = 27 exactly divisible.

Similarly, the remaining numbers are divisible.