Greatest Common Factor of 8507/959, 5093/131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8507/959, 5093/131

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 8507/959,5093/131

Given fractions are 8507/959,5093/131

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 8507,5093

Greatest Common Factor of Numerators i.e. GCF of 8507,5093 is 1 .

LCM of Denominators means LCM of 959,131 as per the given fractions.

LCM of 959,131 is 125629 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8507,5093

GCF of Fractions 8507/959,5093/131 is 1/125629

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

Greatest Common Factor of 8507,5093 By Matching Biggest Common Factor Method

Greatest Common Factor of 8507,5093 By Matching Biggest Common Factor Method

Factors of 8507

List of positive integer factors of 8507 that divides 8507 without a remainder.

1,47,181,8507

Factors of 5093

List of positive integer factors of 5093 that divides 5093 without a remainder.

1,11,463,5093

Greatest Common Factor

We found the factors 8507,5093 . The biggest common factor number is the GCF number.
So the greatest common factor 8507,5093 is 1.

Lets's calculate LCM of 959,131

Given numbers has no common factors except 1. So, there LCM is their product i.e 125629

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/125629

Therefore, the GCF of Fractions 8507/959,5093/131 is 1/125629

Least Common Multiple of 959,131 with GCF Formula

Least Common Multiple of 959,131 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 959,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(959,131) = 1

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

GCF(959,131) x common factors =1 x 1 = 1

LCM(959,131) = ( 959 × 131 ) / 1

LCM(959,131) = 125629 / 1

LCM(959,131) = 125629


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 8507/959, 5093/131

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 8507/959, 5093/131?

Answer: GCF of Numerators as per given numbers 8507/959, 5093/131 is

GCF of Numerators i.e. for 8507,5093 is 1

LCM of denominators i.e. for 959,131 is 125629.

Thus, GCF of Fractions is 1/125629.Finally, GCF of Fractions for 8507/959, 5093/131 is 1/125629.