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GCF of 811/24, 689/138

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 811/24, 689/138 i.e 1/552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 811/24, 689/138.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 811/24,689/138?

Given fractions are 811/24,689/138

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 811/24,689/138, numerators are 811,689

Denominators are 24,138

The GCF of 811,689 is 1 .

LCM of 24,138 is 552.

The greatest common factor of 811/24,689/138 = [GCF of 811,689]/[LCM of 24,138]= 1/552

Therefore, the GCF of 811/24,689/138 is 1/552.

Greatest Common Factor of 811,689

To find the highest common factor of 811,689, we have to find the factors of both numbers and list the highest common factor.

The factors of 811 are 1, 811

The factors of 689 are 1, 13, 53, 689

The HCF of 811,689 is 1.

Lets's calculate GCF of 811,689

Greatest Common Factor (GCF) of 811,689 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 811,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 811,689 By Matching Biggest Common Factor Method

Now, list down the factors of 811

:

1,811

Now, list down the factors of 689

:

1,13,53,689

Greatest Common Factor

We found the factors 811,689 . The biggest common factor number is the GCF number.
So the greatest common factor 811,689 is 1.

Lets's calculate LCM of 24,138

Lowest Common Multiple of 24,138 using Common Division

2 24, 138
3 12, 69
4, 23

∴ So the LCM of the given numbers is 2 x 3 x 4 x 23 = 552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/552

Therefore, the GCF of Fractions 811/24,689/138 is 1/552

Least Common Multiple of 24,138 with GCF Formula

Least Common Multiple of 24,138 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 24,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,138) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(24,138) x common factors =6 x 1 = 6

LCM(24,138) = ( 24 × 138 ) / 6

LCM(24,138) = 3312 / 6

LCM(24,138) = 552


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FAQs on GCF of Fractions of 811/24, 689/138

1. What is the HCF of 811,689?

The HCF of 811,689 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 811/24, 689/138?

Answer: GCF of Numerators as per given numbers 811/24, 689/138 is

GCF of Numerators i.e. for 811,689 is 1

LCM of denominators i.e. for 24,138 is 552.

Thus, GCF of Fractions is 1/552.Finally, GCF of Fractions for 811/24, 689/138 is 1/552.