Greatest Common Factor of 7869/951, 9129/1038

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7869/951, 9129/1038

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 7869/951,9129/1038

Given fractions are 7869/951,9129/1038

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 7869,9129

Greatest Common Factor of Numerators i.e. GCF of 7869,9129 is 3 .

LCM of Denominators means LCM of 951,1038 as per the given fractions.

LCM of 951,1038 is 329046 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7869,9129

GCF of Fractions 7869/951,9129/1038 is 3/329046

3 7869, 9129
2623, 3043

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

Greatest Common Factor of 7869,9129 By Matching Biggest Common Factor Method

Greatest Common Factor of 7869,9129 By Matching Biggest Common Factor Method

Factors of 7869

List of positive integer factors of 7869 that divides 7869 without a remainder.

1,3,43,61,129,183,2623,7869

Factors of 9129

List of positive integer factors of 9129 that divides 9129 without a remainder.

1,3,17,51,179,537,3043,9129

Greatest Common Factor

We found the factors 7869,9129 . The biggest common factor number is the GCF number.
So the greatest common factor 7869,9129 is 3.

Lets's calculate LCM of 951,1038

3 951, 1038
317, 346

∴ So the LCM of the given numbers is 3 x 317 x 346 = 329046

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/329046

Therefore, the GCF of Fractions 7869/951,9129/1038 is 3/329046

Least Common Multiple of 951,1038 with GCF Formula

Least Common Multiple of 951,1038 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 951,1038 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(951,1038) = 3

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

GCF(951,1038) x common factors =3 x 1 = 3

LCM(951,1038) = ( 951 × 1038 ) / 3

LCM(951,1038) = 987138 / 3

LCM(951,1038) = 329046


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 7869/951, 9129/1038

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 7869/951, 9129/1038?

Answer: GCF of Numerators as per given numbers 7869/951, 9129/1038 is

GCF of Numerators i.e. for 7869,9129 is 3

LCM of denominators i.e. for 951,1038 is 329046.

Thus, GCF of Fractions is 3/329046.Finally, GCF of Fractions for 7869/951, 9129/1038 is 3/329046.