Greatest Common Factor of 6115/300, 6279/3590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6115/300, 6279/3590

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 6115/300,6279/3590

Given fractions are 6115/300,6279/3590

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 6115,6279

Greatest Common Factor of Numerators i.e. GCF of 6115,6279 is 1 .

LCM of Denominators means LCM of 300,3590 as per the given fractions.

LCM of 300,3590 is 107700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6115,6279

GCF of Fractions 6115/300,6279/3590 is 1/107700

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

Greatest Common Factor of 6115,6279 By Matching Biggest Common Factor Method

Greatest Common Factor of 6115,6279 By Matching Biggest Common Factor Method

Factors of 6115

List of positive integer factors of 6115 that divides 6115 without a remainder.

1,5,1223,6115

Factors of 6279

List of positive integer factors of 6279 that divides 6279 without a remainder.

1,3,7,13,21,23,39,69,91,161,273,299,483,897,2093,6279

Greatest Common Factor

We found the factors 6115,6279 . The biggest common factor number is the GCF number.
So the greatest common factor 6115,6279 is 1.

Lets's calculate LCM of 300,3590

2 300, 3590
5 150, 1795
30, 359

∴ So the LCM of the given numbers is 2 x 5 x 30 x 359 = 107700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107700

Therefore, the GCF of Fractions 6115/300,6279/3590 is 1/107700

Least Common Multiple of 300,3590 with GCF Formula

Least Common Multiple of 300,3590 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 300,3590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,3590) = 10

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

GCF(300,3590) x common factors =10 x 1 = 10

LCM(300,3590) = ( 300 × 3590 ) / 10

LCM(300,3590) = 1077000 / 10

LCM(300,3590) = 107700


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 6115/300, 6279/3590

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 6115/300, 6279/3590?

Answer: GCF of Numerators as per given numbers 6115/300, 6279/3590 is

GCF of Numerators i.e. for 6115,6279 is 1

LCM of denominators i.e. for 300,3590 is 107700.

Thus, GCF of Fractions is 1/107700.Finally, GCF of Fractions for 6115/300, 6279/3590 is 1/107700.