Greatest Common Factor of 6991/659, 7995/5791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6991/659, 7995/5791

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 6991/659,7995/5791

Given fractions are 6991/659,7995/5791

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 6991,7995

Greatest Common Factor of Numerators i.e. GCF of 6991,7995 is 1 .

LCM of Denominators means LCM of 659,5791 as per the given fractions.

LCM of 659,5791 is 3816269 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6991,7995

GCF of Fractions 6991/659,7995/5791 is 1/3816269

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6991,7995 By Matching Biggest Common Factor Method

Greatest Common Factor of 6991,7995 By Matching Biggest Common Factor Method

Factors of 6991

List of positive integer factors of 6991 that divides 6991 without a remainder.

1,6991

Factors of 7995

List of positive integer factors of 7995 that divides 7995 without a remainder.

1,3,5,13,15,39,41,65,123,195,205,533,615,1599,2665,7995

Greatest Common Factor

We found the factors 6991,7995 . The biggest common factor number is the GCF number.
So the greatest common factor 6991,7995 is 1.

Lets's calculate LCM of 659,5791

Given numbers has no common factors except 1. So, there LCM is their product i.e 3816269

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3816269

Therefore, the GCF of Fractions 6991/659,7995/5791 is 1/3816269

Least Common Multiple of 659,5791 with GCF Formula

Least Common Multiple of 659,5791 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 659,5791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(659,5791) = 1

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

GCF(659,5791) x common factors =1 x 1 = 1

LCM(659,5791) = ( 659 × 5791 ) / 1

LCM(659,5791) = 3816269 / 1

LCM(659,5791) = 3816269


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 6991/659, 7995/5791

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 6991/659, 7995/5791?

Answer: GCF of Numerators as per given numbers 6991/659, 7995/5791 is

GCF of Numerators i.e. for 6991,7995 is 1

LCM of denominators i.e. for 659,5791 is 3816269.

Thus, GCF of Fractions is 1/3816269.Finally, GCF of Fractions for 6991/659, 7995/5791 is 1/3816269.