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.