Greatest Common Factor of 5871/44, 7941/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5871/44, 7941/516

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 5871/44,7941/516

Given fractions are 5871/44,7941/516

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 5871,7941

Greatest Common Factor of Numerators i.e. GCF of 5871,7941 is 3 .

LCM of Denominators means LCM of 44,516 as per the given fractions.

LCM of 44,516 is 5676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5871,7941

GCF of Fractions 5871/44,7941/516 is 3/5676

3 5871, 7941
1957, 2647

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

Greatest Common Factor of 5871,7941 By Matching Biggest Common Factor Method

Greatest Common Factor of 5871,7941 By Matching Biggest Common Factor Method

Factors of 5871

List of positive integer factors of 5871 that divides 5871 without a remainder.

1,3,19,57,103,309,1957,5871

Factors of 7941

List of positive integer factors of 7941 that divides 7941 without a remainder.

1,3,2647,7941

Greatest Common Factor

We found the factors 5871,7941 . The biggest common factor number is the GCF number.
So the greatest common factor 5871,7941 is 3.

Lets's calculate LCM of 44,516

2 44, 516
2 22, 258
11, 129

∴ So the LCM of the given numbers is 2 x 2 x 11 x 129 = 5676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5676

Therefore, the GCF of Fractions 5871/44,7941/516 is 3/5676

Least Common Multiple of 44,516 with GCF Formula

Least Common Multiple of 44,516 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 44,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,516) = 4

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

GCF(44,516) x common factors =4 x 1 = 4

LCM(44,516) = ( 44 × 516 ) / 4

LCM(44,516) = 22704 / 4

LCM(44,516) = 5676


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 5871/44, 7941/516

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 5871/44, 7941/516?

Answer: GCF of Numerators as per given numbers 5871/44, 7941/516 is

GCF of Numerators i.e. for 5871,7941 is 3

LCM of denominators i.e. for 44,516 is 5676.

Thus, GCF of Fractions is 3/5676.Finally, GCF of Fractions for 5871/44, 7941/516 is 3/5676.