Greatest Common Factor of 6888/130, 8540/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6888/130, 8540/294

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 6888/130,8540/294

Given fractions are 6888/130,8540/294

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 6888,8540

Greatest Common Factor of Numerators i.e. GCF of 6888,8540 is 28 .

LCM of Denominators means LCM of 130,294 as per the given fractions.

LCM of 130,294 is 19110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6888,8540

GCF of Fractions 6888/130,8540/294 is 28/19110

2 6888, 8540
2 3444, 4270
7 1722, 2135
246, 305

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 6888,8540 By Matching Biggest Common Factor Method

Greatest Common Factor of 6888,8540 By Matching Biggest Common Factor Method

Factors of 6888

List of positive integer factors of 6888 that divides 6888 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,41,42,56,82,84,123,164,168,246,287,328,492,574,861,984,1148,1722,2296,3444,6888

Factors of 8540

List of positive integer factors of 8540 that divides 8540 without a remainder.

1,2,4,5,7,10,14,20,28,35,61,70,122,140,244,305,427,610,854,1220,1708,2135,4270,8540

Greatest Common Factor

We found the factors 6888,8540 . The biggest common factor number is the GCF number.
So the greatest common factor 6888,8540 is 28.

Lets's calculate LCM of 130,294

2 130, 294
65, 147

∴ So the LCM of the given numbers is 2 x 65 x 147 = 19110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/19110

Therefore, the GCF of Fractions 6888/130,8540/294 is 28/19110

Least Common Multiple of 130,294 with GCF Formula

Least Common Multiple of 130,294 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 130,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(130,294) = 2

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

GCF(130,294) x common factors =2 x 1 = 2

LCM(130,294) = ( 130 × 294 ) / 2

LCM(130,294) = 38220 / 2

LCM(130,294) = 19110


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 6888/130, 8540/294

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 6888/130, 8540/294?

Answer: GCF of Numerators as per given numbers 6888/130, 8540/294 is

GCF of Numerators i.e. for 6888,8540 is 28

LCM of denominators i.e. for 130,294 is 19110.

Thus, GCF of Fractions is 28/19110.Finally, GCF of Fractions for 6888/130, 8540/294 is 28/19110.