Greatest Common Factor of 6874/477, 5876/1949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6874/477, 5876/1949

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 6874/477,5876/1949

Given fractions are 6874/477,5876/1949

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 6874,5876

Greatest Common Factor of Numerators i.e. GCF of 6874,5876 is 2 .

LCM of Denominators means LCM of 477,1949 as per the given fractions.

LCM of 477,1949 is 929673 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6874,5876

GCF of Fractions 6874/477,5876/1949 is 2/929673

2 6874, 5876
3437, 2938

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

Greatest Common Factor of 6874,5876 By Matching Biggest Common Factor Method

Greatest Common Factor of 6874,5876 By Matching Biggest Common Factor Method

Factors of 6874

List of positive integer factors of 6874 that divides 6874 without a remainder.

1,2,7,14,491,982,3437,6874

Factors of 5876

List of positive integer factors of 5876 that divides 5876 without a remainder.

1,2,4,13,26,52,113,226,452,1469,2938,5876

Greatest Common Factor

We found the factors 6874,5876 . The biggest common factor number is the GCF number.
So the greatest common factor 6874,5876 is 2.

Lets's calculate LCM of 477,1949

Given numbers has no common factors except 1. So, there LCM is their product i.e 929673

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/929673

Therefore, the GCF of Fractions 6874/477,5876/1949 is 2/929673

Least Common Multiple of 477,1949 with GCF Formula

Least Common Multiple of 477,1949 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 477,1949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(477,1949) = 1

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

GCF(477,1949) x common factors =1 x 1 = 1

LCM(477,1949) = ( 477 × 1949 ) / 1

LCM(477,1949) = 929673 / 1

LCM(477,1949) = 929673


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 6874/477, 5876/1949

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 6874/477, 5876/1949?

Answer: GCF of Numerators as per given numbers 6874/477, 5876/1949 is

GCF of Numerators i.e. for 6874,5876 is 2

LCM of denominators i.e. for 477,1949 is 929673.

Thus, GCF of Fractions is 2/929673.Finally, GCF of Fractions for 6874/477, 5876/1949 is 2/929673.