Greatest Common Factor of 5142/594, 4428/4589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5142/594, 4428/4589

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 5142/594,4428/4589

Given fractions are 5142/594,4428/4589

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 5142,4428

Greatest Common Factor of Numerators i.e. GCF of 5142,4428 is 6 .

LCM of Denominators means LCM of 594,4589 as per the given fractions.

LCM of 594,4589 is 2725866 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5142,4428

GCF of Fractions 5142/594,4428/4589 is 6/2725866

2 5142, 4428
3 2571, 2214
857, 738

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 5142,4428 By Matching Biggest Common Factor Method

Greatest Common Factor of 5142,4428 By Matching Biggest Common Factor Method

Factors of 5142

List of positive integer factors of 5142 that divides 5142 without a remainder.

1,2,3,6,857,1714,2571,5142

Factors of 4428

List of positive integer factors of 4428 that divides 4428 without a remainder.

1,2,3,4,6,9,12,18,27,36,41,54,82,108,123,164,246,369,492,738,1107,1476,2214,4428

Greatest Common Factor

We found the factors 5142,4428 . The biggest common factor number is the GCF number.
So the greatest common factor 5142,4428 is 6.

Lets's calculate LCM of 594,4589

Given numbers has no common factors except 1. So, there LCM is their product i.e 2725866

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2725866

Therefore, the GCF of Fractions 5142/594,4428/4589 is 6/2725866

Least Common Multiple of 594,4589 with GCF Formula

Least Common Multiple of 594,4589 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 594,4589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(594,4589) = 1

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

GCF(594,4589) x common factors =1 x 1 = 1

LCM(594,4589) = ( 594 × 4589 ) / 1

LCM(594,4589) = 2725866 / 1

LCM(594,4589) = 2725866


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 5142/594, 4428/4589

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 5142/594, 4428/4589?

Answer: GCF of Numerators as per given numbers 5142/594, 4428/4589 is

GCF of Numerators i.e. for 5142,4428 is 6

LCM of denominators i.e. for 594,4589 is 2725866.

Thus, GCF of Fractions is 6/2725866.Finally, GCF of Fractions for 5142/594, 4428/4589 is 6/2725866.