Greatest Common Factor of 2796/664, 4869/528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2796/664, 4869/528

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 2796/664,4869/528

Given fractions are 2796/664,4869/528

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 2796,4869

Greatest Common Factor of Numerators i.e. GCF of 2796,4869 is 3 .

LCM of Denominators means LCM of 664,528 as per the given fractions.

LCM of 664,528 is 43824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2796,4869

GCF of Fractions 2796/664,4869/528 is 3/43824

3 2796, 4869
932, 1623

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

Greatest Common Factor of 2796,4869 By Matching Biggest Common Factor Method

Greatest Common Factor of 2796,4869 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 4869

List of positive integer factors of 4869 that divides 4869 without a remainder.

1,3,9,541,1623,4869

Greatest Common Factor

We found the factors 2796,4869 . The biggest common factor number is the GCF number.
So the greatest common factor 2796,4869 is 3.

Lets's calculate LCM of 664,528

2 664, 528
2 332, 264
2 166, 132
83, 66

∴ So the LCM of the given numbers is 2 x 2 x 2 x 83 x 66 = 43824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/43824

Therefore, the GCF of Fractions 2796/664,4869/528 is 3/43824

Least Common Multiple of 664,528 with GCF Formula

Least Common Multiple of 664,528 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 664,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,528) = 8

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

GCF(664,528) x common factors =8 x 1 = 8

LCM(664,528) = ( 664 × 528 ) / 8

LCM(664,528) = 350592 / 8

LCM(664,528) = 43824


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 2796/664, 4869/528

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 2796/664, 4869/528?

Answer: GCF of Numerators as per given numbers 2796/664, 4869/528 is

GCF of Numerators i.e. for 2796,4869 is 3

LCM of denominators i.e. for 664,528 is 43824.

Thus, GCF of Fractions is 3/43824.Finally, GCF of Fractions for 2796/664, 4869/528 is 3/43824.