Greatest Common Factor of 6339/284, 5307/3975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6339/284, 5307/3975

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 6339/284,5307/3975

Given fractions are 6339/284,5307/3975

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 6339,5307

Greatest Common Factor of Numerators i.e. GCF of 6339,5307 is 3 .

LCM of Denominators means LCM of 284,3975 as per the given fractions.

LCM of 284,3975 is 1128900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6339,5307

GCF of Fractions 6339/284,5307/3975 is 3/1128900

3 6339, 5307
2113, 1769

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 6339,5307 By Matching Biggest Common Factor Method

Greatest Common Factor of 6339,5307 By Matching Biggest Common Factor Method

Factors of 6339

List of positive integer factors of 6339 that divides 6339 without a remainder.

1,3,2113,6339

Factors of 5307

List of positive integer factors of 5307 that divides 5307 without a remainder.

1,3,29,61,87,183,1769,5307

Greatest Common Factor

We found the factors 6339,5307 . The biggest common factor number is the GCF number.
So the greatest common factor 6339,5307 is 3.

Lets's calculate LCM of 284,3975

Given numbers has no common factors except 1. So, there LCM is their product i.e 1128900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1128900

Therefore, the GCF of Fractions 6339/284,5307/3975 is 3/1128900

Least Common Multiple of 284,3975 with GCF Formula

Least Common Multiple of 284,3975 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 284,3975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,3975) = 1

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

GCF(284,3975) x common factors =1 x 1 = 1

LCM(284,3975) = ( 284 × 3975 ) / 1

LCM(284,3975) = 1128900 / 1

LCM(284,3975) = 1128900


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 6339/284, 5307/3975

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 6339/284, 5307/3975?

Answer: GCF of Numerators as per given numbers 6339/284, 5307/3975 is

GCF of Numerators i.e. for 6339,5307 is 3

LCM of denominators i.e. for 284,3975 is 1128900.

Thus, GCF of Fractions is 3/1128900.Finally, GCF of Fractions for 6339/284, 5307/3975 is 3/1128900.