Greatest Common Factor of 8139/12, 7854/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8139/12, 7854/828

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 8139/12,7854/828

Given fractions are 8139/12,7854/828

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 8139,7854

Greatest Common Factor of Numerators i.e. GCF of 8139,7854 is 3 .

LCM of Denominators means LCM of 12,828 as per the given fractions.

LCM of 12,828 is 828 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8139,7854

GCF of Fractions 8139/12,7854/828 is 3/828

3 8139, 7854
2713, 2618

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

Greatest Common Factor of 8139,7854 By Matching Biggest Common Factor Method

Greatest Common Factor of 8139,7854 By Matching Biggest Common Factor Method

Factors of 8139

List of positive integer factors of 8139 that divides 8139 without a remainder.

1,3,2713,8139

Factors of 7854

List of positive integer factors of 7854 that divides 7854 without a remainder.

1,2,3,6,7,11,14,17,21,22,33,34,42,51,66,77,102,119,154,187,231,238,357,374,462,561,714,1122,1309,2618,3927,7854

Greatest Common Factor

We found the factors 8139,7854 . The biggest common factor number is the GCF number.
So the greatest common factor 8139,7854 is 3.

Lets's calculate LCM of 12,828

2 12, 828
2 6, 414
3 3, 207
1, 69

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 69 = 828

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/828

Therefore, the GCF of Fractions 8139/12,7854/828 is 3/828

Least Common Multiple of 12,828 with GCF Formula

Least Common Multiple of 12,828 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 12,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,828) = 12

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

GCF(12,828) x common factors =12 x 1 = 12

LCM(12,828) = ( 12 × 828 ) / 12

LCM(12,828) = 9936 / 12

LCM(12,828) = 828


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 8139/12, 7854/828

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 8139/12, 7854/828?

Answer: GCF of Numerators as per given numbers 8139/12, 7854/828 is

GCF of Numerators i.e. for 8139,7854 is 3

LCM of denominators i.e. for 12,828 is 828.

Thus, GCF of Fractions is 3/828.Finally, GCF of Fractions for 8139/12, 7854/828 is 3/828.