Greatest Common Factor of 5181/872, 5631/8626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5181/872, 5631/8626

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 5181/872,5631/8626

Given fractions are 5181/872,5631/8626

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 5181,5631

Greatest Common Factor of Numerators i.e. GCF of 5181,5631 is 3 .

LCM of Denominators means LCM of 872,8626 as per the given fractions.

LCM of 872,8626 is 3760936 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5181,5631

GCF of Fractions 5181/872,5631/8626 is 3/3760936

3 5181, 5631
1727, 1877

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5181,5631 By Matching Biggest Common Factor Method

Greatest Common Factor of 5181,5631 By Matching Biggest Common Factor Method

Factors of 5181

List of positive integer factors of 5181 that divides 5181 without a remainder.

1,3,11,33,157,471,1727,5181

Factors of 5631

List of positive integer factors of 5631 that divides 5631 without a remainder.

1,3,1877,5631

Greatest Common Factor

We found the factors 5181,5631 . The biggest common factor number is the GCF number.
So the greatest common factor 5181,5631 is 3.

Lets's calculate LCM of 872,8626

2 872, 8626
436, 4313

∴ So the LCM of the given numbers is 2 x 436 x 4313 = 3760936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3760936

Therefore, the GCF of Fractions 5181/872,5631/8626 is 3/3760936

Least Common Multiple of 872,8626 with GCF Formula

Least Common Multiple of 872,8626 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 872,8626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,8626) = 2

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

GCF(872,8626) x common factors =2 x 1 = 2

LCM(872,8626) = ( 872 × 8626 ) / 2

LCM(872,8626) = 7521872 / 2

LCM(872,8626) = 3760936


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5181/872, 5631/8626

1. 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.

2. What is the GCF of Fractions for 5181/872, 5631/8626?

Answer: GCF of Numerators as per given numbers 5181/872, 5631/8626 is

GCF of Numerators i.e. for 5181,5631 is 3

LCM of denominators i.e. for 872,8626 is 3760936.

Thus, GCF of Fractions is 3/3760936.Finally, GCF of Fractions for 5181/872, 5631/8626 is 3/3760936.