Greatest Common Factor of 539/5130, 931/8067

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 539/5130, 931/8067

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 539/5130,931/8067

Given fractions are 539/5130,931/8067

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 539,931

Greatest Common Factor of Numerators i.e. GCF of 539,931 is 49 .

LCM of Denominators means LCM of 5130,8067 as per the given fractions.

LCM of 5130,8067 is 13794570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 539,931

GCF of Fractions 539/5130,931/8067 is 49/13794570

7 539, 931
7 77, 133
11, 19

∴ So the GCF of the given numbers is 7 x 7 = 49

Greatest Common Factor of 539,931 By Matching Biggest Common Factor Method

Greatest Common Factor of 539,931 By Matching Biggest Common Factor Method

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Greatest Common Factor

We found the factors 539,931 . The biggest common factor number is the GCF number.
So the greatest common factor 539,931 is 49.

Lets's calculate LCM of 5130,8067

3 5130, 8067
1710, 2689

∴ So the LCM of the given numbers is 3 x 1710 x 2689 = 13794570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/13794570

Therefore, the GCF of Fractions 539/5130,931/8067 is 49/13794570

Least Common Multiple of 5130,8067 with GCF Formula

Least Common Multiple of 5130,8067 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 5130,8067 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5130,8067) = 3

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

GCF(5130,8067) x common factors =3 x 1 = 3

LCM(5130,8067) = ( 5130 × 8067 ) / 3

LCM(5130,8067) = 41383710 / 3

LCM(5130,8067) = 13794570


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 539/5130, 931/8067

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 539/5130, 931/8067?

Answer: GCF of Numerators as per given numbers 539/5130, 931/8067 is

GCF of Numerators i.e. for 539,931 is 49

LCM of denominators i.e. for 5130,8067 is 13794570.

Thus, GCF of Fractions is 49/13794570.Finally, GCF of Fractions for 539/5130, 931/8067 is 49/13794570.