Greatest Common Factor of 6038/309, 7380/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6038/309, 7380/872

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 6038/309,7380/872

Given fractions are 6038/309,7380/872

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 6038,7380

Greatest Common Factor of Numerators i.e. GCF of 6038,7380 is 2 .

LCM of Denominators means LCM of 309,872 as per the given fractions.

LCM of 309,872 is 269448 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6038,7380

GCF of Fractions 6038/309,7380/872 is 2/269448

2 6038, 7380
3019, 3690

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

Greatest Common Factor of 6038,7380 By Matching Biggest Common Factor Method

Greatest Common Factor of 6038,7380 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 7380

List of positive integer factors of 7380 that divides 7380 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,41,45,60,82,90,123,164,180,205,246,369,410,492,615,738,820,1230,1476,1845,2460,3690,7380

Greatest Common Factor

We found the factors 6038,7380 . The biggest common factor number is the GCF number.
So the greatest common factor 6038,7380 is 2.

Lets's calculate LCM of 309,872

Given numbers has no common factors except 1. So, there LCM is their product i.e 269448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/269448

Therefore, the GCF of Fractions 6038/309,7380/872 is 2/269448

Least Common Multiple of 309,872 with GCF Formula

Least Common Multiple of 309,872 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 309,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,872) = 1

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

GCF(309,872) x common factors =1 x 1 = 1

LCM(309,872) = ( 309 × 872 ) / 1

LCM(309,872) = 269448 / 1

LCM(309,872) = 269448


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 6038/309, 7380/872

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 6038/309, 7380/872?

Answer: GCF of Numerators as per given numbers 6038/309, 7380/872 is

GCF of Numerators i.e. for 6038,7380 is 2

LCM of denominators i.e. for 309,872 is 269448.

Thus, GCF of Fractions is 2/269448.Finally, GCF of Fractions for 6038/309, 7380/872 is 2/269448.