Greatest Common Factor of 7491/11, 5679/622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7491/11, 5679/622

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 7491/11,5679/622

Given fractions are 7491/11,5679/622

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 7491,5679

Greatest Common Factor of Numerators i.e. GCF of 7491,5679 is 3 .

LCM of Denominators means LCM of 11,622 as per the given fractions.

LCM of 11,622 is 6842 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7491,5679

GCF of Fractions 7491/11,5679/622 is 3/6842

3 7491, 5679
2497, 1893

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

Greatest Common Factor of 7491,5679 By Matching Biggest Common Factor Method

Greatest Common Factor of 7491,5679 By Matching Biggest Common Factor Method

Factors of 7491

List of positive integer factors of 7491 that divides 7491 without a remainder.

1,3,11,33,227,681,2497,7491

Factors of 5679

List of positive integer factors of 5679 that divides 5679 without a remainder.

1,3,9,631,1893,5679

Greatest Common Factor

We found the factors 7491,5679 . The biggest common factor number is the GCF number.
So the greatest common factor 7491,5679 is 3.

Lets's calculate LCM of 11,622

Given numbers has no common factors except 1. So, there LCM is their product i.e 6842

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6842

Therefore, the GCF of Fractions 7491/11,5679/622 is 3/6842

Least Common Multiple of 11,622 with GCF Formula

Least Common Multiple of 11,622 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 11,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,622) = 1

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

GCF(11,622) x common factors =1 x 1 = 1

LCM(11,622) = ( 11 × 622 ) / 1

LCM(11,622) = 6842 / 1

LCM(11,622) = 6842


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 7491/11, 5679/622

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 7491/11, 5679/622?

Answer: GCF of Numerators as per given numbers 7491/11, 5679/622 is

GCF of Numerators i.e. for 7491,5679 is 3

LCM of denominators i.e. for 11,622 is 6842.

Thus, GCF of Fractions is 3/6842.Finally, GCF of Fractions for 7491/11, 5679/622 is 3/6842.