Greatest Common Factor of 6615/786, 9579/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6615/786, 9579/358

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 6615/786,9579/358

Given fractions are 6615/786,9579/358

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 6615,9579

Greatest Common Factor of Numerators i.e. GCF of 6615,9579 is 3 .

LCM of Denominators means LCM of 786,358 as per the given fractions.

LCM of 786,358 is 140694 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6615,9579

GCF of Fractions 6615/786,9579/358 is 3/140694

3 6615, 9579
2205, 3193

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

Greatest Common Factor of 6615,9579 By Matching Biggest Common Factor Method

Greatest Common Factor of 6615,9579 By Matching Biggest Common Factor Method

Factors of 6615

List of positive integer factors of 6615 that divides 6615 without a remainder.

1,3,5,7,9,15,21,27,35,45,49,63,105,135,147,189,245,315,441,735,945,1323,2205,6615

Factors of 9579

List of positive integer factors of 9579 that divides 9579 without a remainder.

1,3,31,93,103,309,3193,9579

Greatest Common Factor

We found the factors 6615,9579 . The biggest common factor number is the GCF number.
So the greatest common factor 6615,9579 is 3.

Lets's calculate LCM of 786,358

2 786, 358
393, 179

∴ So the LCM of the given numbers is 2 x 393 x 179 = 140694

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/140694

Therefore, the GCF of Fractions 6615/786,9579/358 is 3/140694

Least Common Multiple of 786,358 with GCF Formula

Least Common Multiple of 786,358 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 786,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(786,358) = 2

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

GCF(786,358) x common factors =2 x 1 = 2

LCM(786,358) = ( 786 × 358 ) / 2

LCM(786,358) = 281388 / 2

LCM(786,358) = 140694


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 6615/786, 9579/358

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 6615/786, 9579/358?

Answer: GCF of Numerators as per given numbers 6615/786, 9579/358 is

GCF of Numerators i.e. for 6615,9579 is 3

LCM of denominators i.e. for 786,358 is 140694.

Thus, GCF of Fractions is 3/140694.Finally, GCF of Fractions for 6615/786, 9579/358 is 3/140694.