Greatest Common Factor of 6130/838, 5751/4271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6130/838, 5751/4271

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 6130/838,5751/4271

Given fractions are 6130/838,5751/4271

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 6130,5751

Greatest Common Factor of Numerators i.e. GCF of 6130,5751 is 1 .

LCM of Denominators means LCM of 838,4271 as per the given fractions.

LCM of 838,4271 is 3579098 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6130,5751

GCF of Fractions 6130/838,5751/4271 is 1/3579098

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

Greatest Common Factor of 6130,5751 By Matching Biggest Common Factor Method

Greatest Common Factor of 6130,5751 By Matching Biggest Common Factor Method

Factors of 6130

List of positive integer factors of 6130 that divides 6130 without a remainder.

1,2,5,10,613,1226,3065,6130

Factors of 5751

List of positive integer factors of 5751 that divides 5751 without a remainder.

1,3,9,27,71,81,213,639,1917,5751

Greatest Common Factor

We found the factors 6130,5751 . The biggest common factor number is the GCF number.
So the greatest common factor 6130,5751 is 1.

Lets's calculate LCM of 838,4271

Given numbers has no common factors except 1. So, there LCM is their product i.e 3579098

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3579098

Therefore, the GCF of Fractions 6130/838,5751/4271 is 1/3579098

Least Common Multiple of 838,4271 with GCF Formula

Least Common Multiple of 838,4271 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 838,4271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(838,4271) = 1

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

GCF(838,4271) x common factors =1 x 1 = 1

LCM(838,4271) = ( 838 × 4271 ) / 1

LCM(838,4271) = 3579098 / 1

LCM(838,4271) = 3579098


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 6130/838, 5751/4271

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 6130/838, 5751/4271?

Answer: GCF of Numerators as per given numbers 6130/838, 5751/4271 is

GCF of Numerators i.e. for 6130,5751 is 1

LCM of denominators i.e. for 838,4271 is 3579098.

Thus, GCF of Fractions is 1/3579098.Finally, GCF of Fractions for 6130/838, 5751/4271 is 1/3579098.