Greatest Common Factor of 6038/75, 1076/543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6038/75, 1076/543

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 6038/75,1076/543

Given fractions are 6038/75,1076/543

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 6038,1076

Greatest Common Factor of Numerators i.e. GCF of 6038,1076 is 2 .

LCM of Denominators means LCM of 75,543 as per the given fractions.

LCM of 75,543 is 13575 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6038,1076

GCF of Fractions 6038/75,1076/543 is 2/13575

2 6038, 1076
3019, 538

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

Greatest Common Factor of 6038,1076 By Matching Biggest Common Factor Method

Greatest Common Factor of 6038,1076 By Matching Biggest Common Factor Method

Factors of 6038

List of positive integer factors of 6038 that divides 6038 without a remainder.

1,2,3019,6038

Factors of 1076

List of positive integer factors of 1076 that divides 1076 without a remainder.

1,2,4,269,538,1076

Greatest Common Factor

We found the factors 6038,1076 . The biggest common factor number is the GCF number.
So the greatest common factor 6038,1076 is 2.

Lets's calculate LCM of 75,543

3 75, 543
25, 181

∴ So the LCM of the given numbers is 3 x 25 x 181 = 13575

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13575

Therefore, the GCF of Fractions 6038/75,1076/543 is 2/13575

Least Common Multiple of 75,543 with GCF Formula

Least Common Multiple of 75,543 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 75,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,543) = 3

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

GCF(75,543) x common factors =3 x 1 = 3

LCM(75,543) = ( 75 × 543 ) / 3

LCM(75,543) = 40725 / 3

LCM(75,543) = 13575


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 6038/75, 1076/543

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 6038/75, 1076/543?

Answer: GCF of Numerators as per given numbers 6038/75, 1076/543 is

GCF of Numerators i.e. for 6038,1076 is 2

LCM of denominators i.e. for 75,543 is 13575.

Thus, GCF of Fractions is 2/13575.Finally, GCF of Fractions for 6038/75, 1076/543 is 2/13575.