Greatest Common Factor of 8079/81, 8481/809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 8079/81, 8481/809

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 8079/81,8481/809

Given fractions are 8079/81,8481/809

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 8079,8481

Greatest Common Factor of Numerators i.e. GCF of 8079,8481 is 3 .

LCM of Denominators means LCM of 81,809 as per the given fractions.

LCM of 81,809 is 65529 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8079,8481

GCF of Fractions 8079/81,8481/809 is 3/65529

3 8079, 8481
2693, 2827

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

Greatest Common Factor of 8079,8481 By Matching Biggest Common Factor Method

Greatest Common Factor of 8079,8481 By Matching Biggest Common Factor Method

Factors of 8079

List of positive integer factors of 8079 that divides 8079 without a remainder.

1,3,2693,8079

Factors of 8481

List of positive integer factors of 8481 that divides 8481 without a remainder.

1,3,11,33,257,771,2827,8481

Greatest Common Factor

We found the factors 8079,8481 . The biggest common factor number is the GCF number.
So the greatest common factor 8079,8481 is 3.


Lets's calculate LCM of 81,809

Given numbers has no common factors except 1. So, there LCM is their product i.e 65529

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/65529

Therefore, the GCF of Fractions 8079/81,8481/809 is 3/65529

Least Common Multiple of 81,809 with GCF Formula

Least Common Multiple of 81,809 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 81,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,809) = 1

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

GCF(81,809) x common factors =1 x 1 = 1

LCM(81,809) = ( 81 × 809 ) / 1

LCM(81,809) = 65529 / 1

LCM(81,809) = 65529


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 8079/81, 8481/809

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 8079/81, 8481/809?

Answer: GCF of Numerators as per given numbers 8079/81, 8481/809 is

GCF of Numerators i.e. for 8079,8481 is 3

LCM of denominators i.e. for 81,809 is 65529.

Thus, GCF of Fractions is 3/65529.Finally, GCF of Fractions for 8079/81, 8481/809 is 3/65529.