Greatest Common Factor of 39/574, 2598/5740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 39/574, 2598/5740

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 39/574,2598/5740

Given fractions are 39/574,2598/5740

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 39,2598

Greatest Common Factor of Numerators i.e. GCF of 39,2598 is 3 .

LCM of Denominators means LCM of 574,5740 as per the given fractions.

LCM of 574,5740 is 5740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 39,2598

GCF of Fractions 39/574,2598/5740 is 3/5740

3 39, 2598
13, 866

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

Greatest Common Factor of 39,2598 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,2598 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 2598

List of positive integer factors of 2598 that divides 2598 without a remainder.

1,2,3,6,433,866,1299,2598

Greatest Common Factor

We found the factors 39,2598 . The biggest common factor number is the GCF number.
So the greatest common factor 39,2598 is 3.

Lets's calculate LCM of 574,5740

2 574, 5740
7 287, 2870
41 41, 410
1, 10

∴ So the LCM of the given numbers is 2 x 7 x 41 x 1 x 10 = 5740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5740

Therefore, the GCF of Fractions 39/574,2598/5740 is 3/5740

Least Common Multiple of 574,5740 with GCF Formula

Least Common Multiple of 574,5740 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 574,5740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(574,5740) = 574

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

GCF(574,5740) x common factors =574 x 1 = 574

LCM(574,5740) = ( 574 × 5740 ) / 574

LCM(574,5740) = 3294760 / 574

LCM(574,5740) = 5740


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 39/574, 2598/5740

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 39/574, 2598/5740?

Answer: GCF of Numerators as per given numbers 39/574, 2598/5740 is

GCF of Numerators i.e. for 39,2598 is 3

LCM of denominators i.e. for 574,5740 is 5740.

Thus, GCF of Fractions is 3/5740.Finally, GCF of Fractions for 39/574, 2598/5740 is 3/5740.