Greatest Common Factor of 75/57, 39/29, 543/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/57, 39/29, 543/502

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 75/57,39/29,543/502

Given fractions are 75/57,39/29,543/502

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 75,39,543

Greatest Common Factor of Numerators i.e. GCF of 75,39,543 is 3 .

LCM of Denominators means LCM of 57,29,502 as per the given fractions.

LCM of 57,29,502 is 829806 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,39,543

GCF of Fractions 75/57,39/29,543/502 is 3/829806

3 75, 39, 543
25, 13, 181

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

Greatest Common Factor of 75,39,543 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,39,543 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 39

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

1,3,13,39

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Greatest Common Factor

We found the factors 75,39,543 . The biggest common factor number is the GCF number.
So the greatest common factor 75,39,543 is 3.

Lets's calculate LCM of 57,29,502

Given numbers has no common factors except 1. So, there LCM is their product i.e 829806

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/829806

Therefore, the GCF of Fractions 75/57,39/29,543/502 is 3/829806

Least Common Multiple of 57,29,502 with GCF Formula

Least Common Multiple of 57,29,502 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 57,29,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,29,502) = 1

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

GCF(57,29,502) x common factors =1 x 1 = 1

LCM(57,29,502) = ( 57 × 29 × 502 ) / 1

LCM(57,29,502) = 829806 / 1

LCM(57,29,502) = 829806


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 75/57, 39/29, 543/502

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 75/57, 39/29, 543/502?

Answer: GCF of Numerators as per given numbers 75/57, 39/29, 543/502 is

GCF of Numerators i.e. for 75,39,543 is 3

LCM of denominators i.e. for 57,29,502 is 829806.

Thus, GCF of Fractions is 3/829806.Finally, GCF of Fractions for 75/57, 39/29, 543/502 is 3/829806.