Greatest Common Factor of 7941/523, 2799/3099

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7941/523, 2799/3099

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 7941/523,2799/3099

Given fractions are 7941/523,2799/3099

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 7941,2799

Greatest Common Factor of Numerators i.e. GCF of 7941,2799 is 3 .

LCM of Denominators means LCM of 523,3099 as per the given fractions.

LCM of 523,3099 is 1620777 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7941,2799

GCF of Fractions 7941/523,2799/3099 is 3/1620777

3 7941, 2799
2647, 933

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

Greatest Common Factor of 7941,2799 By Matching Biggest Common Factor Method

Greatest Common Factor of 7941,2799 By Matching Biggest Common Factor Method

Factors of 7941

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

1,3,2647,7941

Factors of 2799

List of positive integer factors of 2799 that divides 2799 without a remainder.

1,3,9,311,933,2799

Greatest Common Factor

We found the factors 7941,2799 . The biggest common factor number is the GCF number.
So the greatest common factor 7941,2799 is 3.

Lets's calculate LCM of 523,3099

Given numbers has no common factors except 1. So, there LCM is their product i.e 1620777

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1620777

Therefore, the GCF of Fractions 7941/523,2799/3099 is 3/1620777

Least Common Multiple of 523,3099 with GCF Formula

Least Common Multiple of 523,3099 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 523,3099 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,3099) = 1

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

GCF(523,3099) x common factors =1 x 1 = 1

LCM(523,3099) = ( 523 × 3099 ) / 1

LCM(523,3099) = 1620777 / 1

LCM(523,3099) = 1620777


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 7941/523, 2799/3099

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 7941/523, 2799/3099?

Answer: GCF of Numerators as per given numbers 7941/523, 2799/3099 is

GCF of Numerators i.e. for 7941,2799 is 3

LCM of denominators i.e. for 523,3099 is 1620777.

Thus, GCF of Fractions is 3/1620777.Finally, GCF of Fractions for 7941/523, 2799/3099 is 3/1620777.