Greatest Common Factor of 4595/130, 4959/2698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4595/130, 4959/2698

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 4595/130,4959/2698

Given fractions are 4595/130,4959/2698

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 4595,4959

Greatest Common Factor of Numerators i.e. GCF of 4595,4959 is 1 .

LCM of Denominators means LCM of 130,2698 as per the given fractions.

LCM of 130,2698 is 175370 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4595,4959

GCF of Fractions 4595/130,4959/2698 is 1/175370

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

Greatest Common Factor of 4595,4959 By Matching Biggest Common Factor Method

Greatest Common Factor of 4595,4959 By Matching Biggest Common Factor Method

Factors of 4595

List of positive integer factors of 4595 that divides 4595 without a remainder.

1,5,919,4595

Factors of 4959

List of positive integer factors of 4959 that divides 4959 without a remainder.

1,3,9,19,29,57,87,171,261,551,1653,4959

Greatest Common Factor

We found the factors 4595,4959 . The biggest common factor number is the GCF number.
So the greatest common factor 4595,4959 is 1.

Lets's calculate LCM of 130,2698

2 130, 2698
65, 1349

∴ So the LCM of the given numbers is 2 x 65 x 1349 = 175370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175370

Therefore, the GCF of Fractions 4595/130,4959/2698 is 1/175370

Least Common Multiple of 130,2698 with GCF Formula

Least Common Multiple of 130,2698 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 130,2698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(130,2698) = 2

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

GCF(130,2698) x common factors =2 x 1 = 2

LCM(130,2698) = ( 130 × 2698 ) / 2

LCM(130,2698) = 350740 / 2

LCM(130,2698) = 175370


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 4595/130, 4959/2698

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 4595/130, 4959/2698?

Answer: GCF of Numerators as per given numbers 4595/130, 4959/2698 is

GCF of Numerators i.e. for 4595,4959 is 1

LCM of denominators i.e. for 130,2698 is 175370.

Thus, GCF of Fractions is 1/175370.Finally, GCF of Fractions for 4595/130, 4959/2698 is 1/175370.