Greatest Common Factor of 7936/696, 2675/5978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7936/696, 2675/5978

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 7936/696,2675/5978

Given fractions are 7936/696,2675/5978

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 7936,2675

Greatest Common Factor of Numerators i.e. GCF of 7936,2675 is 1 .

LCM of Denominators means LCM of 696,5978 as per the given fractions.

LCM of 696,5978 is 2080344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7936,2675

GCF of Fractions 7936/696,2675/5978 is 1/2080344

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

Greatest Common Factor of 7936,2675 By Matching Biggest Common Factor Method

Greatest Common Factor of 7936,2675 By Matching Biggest Common Factor Method

Factors of 7936

List of positive integer factors of 7936 that divides 7936 without a remainder.

1,2,4,8,16,31,32,62,64,124,128,248,256,496,992,1984,3968,7936

Factors of 2675

List of positive integer factors of 2675 that divides 2675 without a remainder.

1,5,25,107,535,2675

Greatest Common Factor

We found the factors 7936,2675 . The biggest common factor number is the GCF number.
So the greatest common factor 7936,2675 is 1.

Lets's calculate LCM of 696,5978

2 696, 5978
348, 2989

∴ So the LCM of the given numbers is 2 x 348 x 2989 = 2080344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2080344

Therefore, the GCF of Fractions 7936/696,2675/5978 is 1/2080344

Least Common Multiple of 696,5978 with GCF Formula

Least Common Multiple of 696,5978 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 696,5978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,5978) = 2

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

GCF(696,5978) x common factors =2 x 1 = 2

LCM(696,5978) = ( 696 × 5978 ) / 2

LCM(696,5978) = 4160688 / 2

LCM(696,5978) = 2080344


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 7936/696, 2675/5978

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 7936/696, 2675/5978?

Answer: GCF of Numerators as per given numbers 7936/696, 2675/5978 is

GCF of Numerators i.e. for 7936,2675 is 1

LCM of denominators i.e. for 696,5978 is 2080344.

Thus, GCF of Fractions is 1/2080344.Finally, GCF of Fractions for 7936/696, 2675/5978 is 1/2080344.