Greatest Common Factor of 5844/968, 2976/2239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5844/968, 2976/2239

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 5844/968,2976/2239

Given fractions are 5844/968,2976/2239

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 5844,2976

Greatest Common Factor of Numerators i.e. GCF of 5844,2976 is 12 .

LCM of Denominators means LCM of 968,2239 as per the given fractions.

LCM of 968,2239 is 2167352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5844,2976

GCF of Fractions 5844/968,2976/2239 is 12/2167352

2 5844, 2976
2 2922, 1488
3 1461, 744
487, 248

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 5844,2976 By Matching Biggest Common Factor Method

Greatest Common Factor of 5844,2976 By Matching Biggest Common Factor Method

Factors of 5844

List of positive integer factors of 5844 that divides 5844 without a remainder.

1,2,3,4,6,12,487,974,1461,1948,2922,5844

Factors of 2976

List of positive integer factors of 2976 that divides 2976 without a remainder.

1,2,3,4,6,8,12,16,24,31,32,48,62,93,96,124,186,248,372,496,744,992,1488,2976

Greatest Common Factor

We found the factors 5844,2976 . The biggest common factor number is the GCF number.
So the greatest common factor 5844,2976 is 12.

Lets's calculate LCM of 968,2239

Given numbers has no common factors except 1. So, there LCM is their product i.e 2167352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/2167352

Therefore, the GCF of Fractions 5844/968,2976/2239 is 12/2167352

Least Common Multiple of 968,2239 with GCF Formula

Least Common Multiple of 968,2239 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 968,2239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(968,2239) = 1

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

GCF(968,2239) x common factors =1 x 1 = 1

LCM(968,2239) = ( 968 × 2239 ) / 1

LCM(968,2239) = 2167352 / 1

LCM(968,2239) = 2167352


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 5844/968, 2976/2239

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 5844/968, 2976/2239?

Answer: GCF of Numerators as per given numbers 5844/968, 2976/2239 is

GCF of Numerators i.e. for 5844,2976 is 12

LCM of denominators i.e. for 968,2239 is 2167352.

Thus, GCF of Fractions is 12/2167352.Finally, GCF of Fractions for 5844/968, 2976/2239 is 12/2167352.