Greatest Common Factor of 5114/339, 6236/3813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5114/339, 6236/3813

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 5114/339,6236/3813

Given fractions are 5114/339,6236/3813

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 5114,6236

Greatest Common Factor of Numerators i.e. GCF of 5114,6236 is 2 .

LCM of Denominators means LCM of 339,3813 as per the given fractions.

LCM of 339,3813 is 430869 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5114,6236

GCF of Fractions 5114/339,6236/3813 is 2/430869

2 5114, 6236
2557, 3118

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5114,6236 By Matching Biggest Common Factor Method

Greatest Common Factor of 5114,6236 By Matching Biggest Common Factor Method

Factors of 5114

List of positive integer factors of 5114 that divides 5114 without a remainder.

1,2,2557,5114

Factors of 6236

List of positive integer factors of 6236 that divides 6236 without a remainder.

1,2,4,1559,3118,6236

Greatest Common Factor

We found the factors 5114,6236 . The biggest common factor number is the GCF number.
So the greatest common factor 5114,6236 is 2.

Lets's calculate LCM of 339,3813

3 339, 3813
113, 1271

∴ So the LCM of the given numbers is 3 x 113 x 1271 = 430869

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/430869

Therefore, the GCF of Fractions 5114/339,6236/3813 is 2/430869

Least Common Multiple of 339,3813 with GCF Formula

Least Common Multiple of 339,3813 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 339,3813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(339,3813) = 3

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

GCF(339,3813) x common factors =3 x 1 = 3

LCM(339,3813) = ( 339 × 3813 ) / 3

LCM(339,3813) = 1292607 / 3

LCM(339,3813) = 430869


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 5114/339, 6236/3813

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 5114/339, 6236/3813?

Answer: GCF of Numerators as per given numbers 5114/339, 6236/3813 is

GCF of Numerators i.e. for 5114,6236 is 2

LCM of denominators i.e. for 339,3813 is 430869.

Thus, GCF of Fractions is 2/430869.Finally, GCF of Fractions for 5114/339, 6236/3813 is 2/430869.