Greatest Common Factor of 261/579, 7929/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 261/579, 7929/945

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 261/579,7929/945

Given fractions are 261/579,7929/945

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 261,7929

Greatest Common Factor of Numerators i.e. GCF of 261,7929 is 9 .

LCM of Denominators means LCM of 579,945 as per the given fractions.

LCM of 579,945 is 182385 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 261,7929

GCF of Fractions 261/579,7929/945 is 9/182385

3 261, 7929
3 87, 2643
29, 881

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 261,7929 By Matching Biggest Common Factor Method

Greatest Common Factor of 261,7929 By Matching Biggest Common Factor Method

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Factors of 7929

List of positive integer factors of 7929 that divides 7929 without a remainder.

1,3,9,881,2643,7929

Greatest Common Factor

We found the factors 261,7929 . The biggest common factor number is the GCF number.
So the greatest common factor 261,7929 is 9.

Lets's calculate LCM of 579,945

3 579, 945
193, 315

∴ So the LCM of the given numbers is 3 x 193 x 315 = 182385

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/182385

Therefore, the GCF of Fractions 261/579,7929/945 is 9/182385

Least Common Multiple of 579,945 with GCF Formula

Least Common Multiple of 579,945 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 579,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(579,945) = 3

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

GCF(579,945) x common factors =3 x 1 = 3

LCM(579,945) = ( 579 × 945 ) / 3

LCM(579,945) = 547155 / 3

LCM(579,945) = 182385


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 261/579, 7929/945

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 261/579, 7929/945?

Answer: GCF of Numerators as per given numbers 261/579, 7929/945 is

GCF of Numerators i.e. for 261,7929 is 9

LCM of denominators i.e. for 579,945 is 182385.

Thus, GCF of Fractions is 9/182385.Finally, GCF of Fractions for 261/579, 7929/945 is 9/182385.