Greatest Common Factor of 8109/324, 2769/163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8109/324, 2769/163

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 8109/324,2769/163

Given fractions are 8109/324,2769/163

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 8109,2769

Greatest Common Factor of Numerators i.e. GCF of 8109,2769 is 3 .

LCM of Denominators means LCM of 324,163 as per the given fractions.

LCM of 324,163 is 52812 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8109,2769

GCF of Fractions 8109/324,2769/163 is 3/52812

3 8109, 2769
2703, 923

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

Greatest Common Factor of 8109,2769 By Matching Biggest Common Factor Method

Greatest Common Factor of 8109,2769 By Matching Biggest Common Factor Method

Factors of 8109

List of positive integer factors of 8109 that divides 8109 without a remainder.

1,3,9,17,51,53,153,159,477,901,2703,8109

Factors of 2769

List of positive integer factors of 2769 that divides 2769 without a remainder.

1,3,13,39,71,213,923,2769

Greatest Common Factor

We found the factors 8109,2769 . The biggest common factor number is the GCF number.
So the greatest common factor 8109,2769 is 3.

Lets's calculate LCM of 324,163

Given numbers has no common factors except 1. So, there LCM is their product i.e 52812

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/52812

Therefore, the GCF of Fractions 8109/324,2769/163 is 3/52812

Least Common Multiple of 324,163 with GCF Formula

Least Common Multiple of 324,163 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 324,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(324,163) = 1

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

GCF(324,163) x common factors =1 x 1 = 1

LCM(324,163) = ( 324 × 163 ) / 1

LCM(324,163) = 52812 / 1

LCM(324,163) = 52812


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 8109/324, 2769/163

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 8109/324, 2769/163?

Answer: GCF of Numerators as per given numbers 8109/324, 2769/163 is

GCF of Numerators i.e. for 8109,2769 is 3

LCM of denominators i.e. for 324,163 is 52812.

Thus, GCF of Fractions is 3/52812.Finally, GCF of Fractions for 8109/324, 2769/163 is 3/52812.