Greatest Common Factor of 6579/970, 3603/5841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6579/970, 3603/5841

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 6579/970,3603/5841

Given fractions are 6579/970,3603/5841

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 6579,3603

Greatest Common Factor of Numerators i.e. GCF of 6579,3603 is 3 .

LCM of Denominators means LCM of 970,5841 as per the given fractions.

LCM of 970,5841 is 5665770 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6579,3603

GCF of Fractions 6579/970,3603/5841 is 3/5665770

3 6579, 3603
2193, 1201

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

Greatest Common Factor of 6579,3603 By Matching Biggest Common Factor Method

Greatest Common Factor of 6579,3603 By Matching Biggest Common Factor Method

Factors of 6579

List of positive integer factors of 6579 that divides 6579 without a remainder.

1,3,9,17,43,51,129,153,387,731,2193,6579

Factors of 3603

List of positive integer factors of 3603 that divides 3603 without a remainder.

1,3,1201,3603

Greatest Common Factor

We found the factors 6579,3603 . The biggest common factor number is the GCF number.
So the greatest common factor 6579,3603 is 3.

Lets's calculate LCM of 970,5841

Given numbers has no common factors except 1. So, there LCM is their product i.e 5665770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5665770

Therefore, the GCF of Fractions 6579/970,3603/5841 is 3/5665770

Least Common Multiple of 970,5841 with GCF Formula

Least Common Multiple of 970,5841 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 970,5841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,5841) = 1

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

GCF(970,5841) x common factors =1 x 1 = 1

LCM(970,5841) = ( 970 × 5841 ) / 1

LCM(970,5841) = 5665770 / 1

LCM(970,5841) = 5665770


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 6579/970, 3603/5841

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 6579/970, 3603/5841?

Answer: GCF of Numerators as per given numbers 6579/970, 3603/5841 is

GCF of Numerators i.e. for 6579,3603 is 3

LCM of denominators i.e. for 970,5841 is 5665770.

Thus, GCF of Fractions is 3/5665770.Finally, GCF of Fractions for 6579/970, 3603/5841 is 3/5665770.