# Find the HCF and LCM of 8/9, 10/27 and 16/81.

By Mandeep Kumar|Updated : May 18th, 2023

To find: HCF and LCM of 8/9, 10/27 and 16/81.

To determine the HCF of fractional numbers, first we have to find the HCF of numerators and then LCM of denominators. So, the HCF of 8/9, 10/27 and 16/81 can be calculated in the following way.

HCF of (a/b, c/d, e/f) = HCF of (a, c, d) / LCM of (b, d, f)

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

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

Now, to find the LCM of 8/9, 10/27 and 16/81 we have to find the LCM of numerators and then HCF of denominators.

LCM of (a/b, c/d, e/f) = LCM of (a, c, d) / HCF of (b, d, f)

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

LCM of (8/9, 10/27, 16/81) = 80 / 9

Hence, HCF of (8/9, 10/27, 16/81) is 2/81 and LCM of (8/9, 10/27, 16/81) is 80/9.

## HCF and LCM of 8/9, 10/27 and 16/81

As shared above, the HCF and LCM of 8/9, 10/27 and 16/81 are 2/81 and 80/9 respectively. The HCF and LCM can be calculated by following the step by step process explained above. Further, it is important to have knowledge of HCF and LCM to solve this question.

• HCF is an abbreviation for Highest Common Factor. The highest (or greatest) common factor of two or more given numbers is the HCF. It is also referred to as the Greatest Common Divisor (GCD).
• LCM is an abbreviation for Lowest Common Multiple. The smallest (or least or lowest) of two or more given numbers' common multiples is the LCM.

Summary:

## Find the HCF and LCM of 8/9, 10/27 and 16/81.

The HCF and LCM of (8/9, 10/27, 16/81) is 2/81 and 80/9 respectively. To find the HCF of the given fractions, calculate the HCF of numerators and then LCM of denominators. Similarly to find the LCM of the given numbers, first we have to determine LCM of numerators and then HCF of denominators.

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