Greatest Common Factor of 3991/568, 5967/7959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3991/568, 5967/7959

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 3991/568,5967/7959

Given fractions are 3991/568,5967/7959

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 3991,5967

Greatest Common Factor of Numerators i.e. GCF of 3991,5967 is 13 .

LCM of Denominators means LCM of 568,7959 as per the given fractions.

LCM of 568,7959 is 4520712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3991,5967

GCF of Fractions 3991/568,5967/7959 is 13/4520712

13 3991, 5967
307, 459

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 3991,5967 By Matching Biggest Common Factor Method

Greatest Common Factor of 3991,5967 By Matching Biggest Common Factor Method

Factors of 3991

List of positive integer factors of 3991 that divides 3991 without a remainder.

1,13,307,3991

Factors of 5967

List of positive integer factors of 5967 that divides 5967 without a remainder.

1,3,9,13,17,27,39,51,117,153,221,351,459,663,1989,5967

Greatest Common Factor

We found the factors 3991,5967 . The biggest common factor number is the GCF number.
So the greatest common factor 3991,5967 is 13.

Lets's calculate LCM of 568,7959

Given numbers has no common factors except 1. So, there LCM is their product i.e 4520712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/4520712

Therefore, the GCF of Fractions 3991/568,5967/7959 is 13/4520712

Least Common Multiple of 568,7959 with GCF Formula

Least Common Multiple of 568,7959 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 568,7959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(568,7959) = 1

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

GCF(568,7959) x common factors =1 x 1 = 1

LCM(568,7959) = ( 568 × 7959 ) / 1

LCM(568,7959) = 4520712 / 1

LCM(568,7959) = 4520712


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 3991/568, 5967/7959

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 3991/568, 5967/7959?

Answer: GCF of Numerators as per given numbers 3991/568, 5967/7959 is

GCF of Numerators i.e. for 3991,5967 is 13

LCM of denominators i.e. for 568,7959 is 4520712.

Thus, GCF of Fractions is 13/4520712.Finally, GCF of Fractions for 3991/568, 5967/7959 is 13/4520712.