Greatest Common Factor of 6079/489, 7585/9444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6079/489, 7585/9444

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 6079/489,7585/9444

Given fractions are 6079/489,7585/9444

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 6079,7585

Greatest Common Factor of Numerators i.e. GCF of 6079,7585 is 1 .

LCM of Denominators means LCM of 489,9444 as per the given fractions.

LCM of 489,9444 is 1539372 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6079,7585

GCF of Fractions 6079/489,7585/9444 is 1/1539372

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6079,7585 By Matching Biggest Common Factor Method

Greatest Common Factor of 6079,7585 By Matching Biggest Common Factor Method

Factors of 6079

List of positive integer factors of 6079 that divides 6079 without a remainder.

1,6079

Factors of 7585

List of positive integer factors of 7585 that divides 7585 without a remainder.

1,5,37,41,185,205,1517,7585

Greatest Common Factor

We found the factors 6079,7585 . The biggest common factor number is the GCF number.
So the greatest common factor 6079,7585 is 1.

Lets's calculate LCM of 489,9444

3 489, 9444
163, 3148

∴ So the LCM of the given numbers is 3 x 163 x 3148 = 1539372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1539372

Therefore, the GCF of Fractions 6079/489,7585/9444 is 1/1539372

Least Common Multiple of 489,9444 with GCF Formula

Least Common Multiple of 489,9444 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 489,9444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,9444) = 3

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

GCF(489,9444) x common factors =3 x 1 = 3

LCM(489,9444) = ( 489 × 9444 ) / 3

LCM(489,9444) = 4618116 / 3

LCM(489,9444) = 1539372


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 6079/489, 7585/9444

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 6079/489, 7585/9444?

Answer: GCF of Numerators as per given numbers 6079/489, 7585/9444 is

GCF of Numerators i.e. for 6079,7585 is 1

LCM of denominators i.e. for 489,9444 is 1539372.

Thus, GCF of Fractions is 1/1539372.Finally, GCF of Fractions for 6079/489, 7585/9444 is 1/1539372.