Greatest Common Factor of 2796/781, 5847/5008

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2796/781, 5847/5008

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 2796/781,5847/5008

Given fractions are 2796/781,5847/5008

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 2796,5847

Greatest Common Factor of Numerators i.e. GCF of 2796,5847 is 3 .

LCM of Denominators means LCM of 781,5008 as per the given fractions.

LCM of 781,5008 is 3911248 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2796,5847

GCF of Fractions 2796/781,5847/5008 is 3/3911248

3 2796, 5847
932, 1949

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

Greatest Common Factor of 2796,5847 By Matching Biggest Common Factor Method

Greatest Common Factor of 2796,5847 By Matching Biggest Common Factor Method

Factors of 2796

List of positive integer factors of 2796 that divides 2796 without a remainder.

1,2,3,4,6,12,233,466,699,932,1398,2796

Factors of 5847

List of positive integer factors of 5847 that divides 5847 without a remainder.

1,3,1949,5847

Greatest Common Factor

We found the factors 2796,5847 . The biggest common factor number is the GCF number.
So the greatest common factor 2796,5847 is 3.

Lets's calculate LCM of 781,5008

Given numbers has no common factors except 1. So, there LCM is their product i.e 3911248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3911248

Therefore, the GCF of Fractions 2796/781,5847/5008 is 3/3911248

Least Common Multiple of 781,5008 with GCF Formula

Least Common Multiple of 781,5008 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 781,5008 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(781,5008) = 1

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

GCF(781,5008) x common factors =1 x 1 = 1

LCM(781,5008) = ( 781 × 5008 ) / 1

LCM(781,5008) = 3911248 / 1

LCM(781,5008) = 3911248


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 2796/781, 5847/5008

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 2796/781, 5847/5008?

Answer: GCF of Numerators as per given numbers 2796/781, 5847/5008 is

GCF of Numerators i.e. for 2796,5847 is 3

LCM of denominators i.e. for 781,5008 is 3911248.

Thus, GCF of Fractions is 3/3911248.Finally, GCF of Fractions for 2796/781, 5847/5008 is 3/3911248.