Greatest Common Factor of 6561/838, 2763/9577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6561/838, 2763/9577

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 6561/838,2763/9577

Given fractions are 6561/838,2763/9577

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 6561,2763

Greatest Common Factor of Numerators i.e. GCF of 6561,2763 is 9 .

LCM of Denominators means LCM of 838,9577 as per the given fractions.

LCM of 838,9577 is 8025526 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6561,2763

GCF of Fractions 6561/838,2763/9577 is 9/8025526

3 6561, 2763
3 2187, 921
729, 307

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

Greatest Common Factor of 6561,2763 By Matching Biggest Common Factor Method

Greatest Common Factor of 6561,2763 By Matching Biggest Common Factor Method

Factors of 6561

List of positive integer factors of 6561 that divides 6561 without a remainder.

1,3,9,27,81,243,729,2187,6561

Factors of 2763

List of positive integer factors of 2763 that divides 2763 without a remainder.

1,3,9,307,921,2763

Greatest Common Factor

We found the factors 6561,2763 . The biggest common factor number is the GCF number.
So the greatest common factor 6561,2763 is 9.

Lets's calculate LCM of 838,9577

Given numbers has no common factors except 1. So, there LCM is their product i.e 8025526

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/8025526

Therefore, the GCF of Fractions 6561/838,2763/9577 is 9/8025526

Least Common Multiple of 838,9577 with GCF Formula

Least Common Multiple of 838,9577 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 838,9577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(838,9577) = 1

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

GCF(838,9577) x common factors =1 x 1 = 1

LCM(838,9577) = ( 838 × 9577 ) / 1

LCM(838,9577) = 8025526 / 1

LCM(838,9577) = 8025526


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 6561/838, 2763/9577

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 6561/838, 2763/9577?

Answer: GCF of Numerators as per given numbers 6561/838, 2763/9577 is

GCF of Numerators i.e. for 6561,2763 is 9

LCM of denominators i.e. for 838,9577 is 8025526.

Thus, GCF of Fractions is 9/8025526.Finally, GCF of Fractions for 6561/838, 2763/9577 is 9/8025526.