Greatest Common Factor of 4724/591, 6804/5904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4724/591, 6804/5904

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 4724/591,6804/5904

Given fractions are 4724/591,6804/5904

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 4724,6804

Greatest Common Factor of Numerators i.e. GCF of 4724,6804 is 4 .

LCM of Denominators means LCM of 591,5904 as per the given fractions.

LCM of 591,5904 is 1163088 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4724,6804

GCF of Fractions 4724/591,6804/5904 is 4/1163088

2 4724, 6804
2 2362, 3402
1181, 1701

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4724,6804 By Matching Biggest Common Factor Method

Greatest Common Factor of 4724,6804 By Matching Biggest Common Factor Method

Factors of 4724

List of positive integer factors of 4724 that divides 4724 without a remainder.

1,2,4,1181,2362,4724

Factors of 6804

List of positive integer factors of 6804 that divides 6804 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,81,84,108,126,162,189,243,252,324,378,486,567,756,972,1134,1701,2268,3402,6804

Greatest Common Factor

We found the factors 4724,6804 . The biggest common factor number is the GCF number.
So the greatest common factor 4724,6804 is 4.

Lets's calculate LCM of 591,5904

3 591, 5904
197, 1968

∴ So the LCM of the given numbers is 3 x 197 x 1968 = 1163088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1163088

Therefore, the GCF of Fractions 4724/591,6804/5904 is 4/1163088

Least Common Multiple of 591,5904 with GCF Formula

Least Common Multiple of 591,5904 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 591,5904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(591,5904) = 3

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

GCF(591,5904) x common factors =3 x 1 = 3

LCM(591,5904) = ( 591 × 5904 ) / 3

LCM(591,5904) = 3489264 / 3

LCM(591,5904) = 1163088


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 4724/591, 6804/5904

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 4724/591, 6804/5904?

Answer: GCF of Numerators as per given numbers 4724/591, 6804/5904 is

GCF of Numerators i.e. for 4724,6804 is 4

LCM of denominators i.e. for 591,5904 is 1163088.

Thus, GCF of Fractions is 4/1163088.Finally, GCF of Fractions for 4724/591, 6804/5904 is 4/1163088.