Greatest Common Factor of 8009/855, 3172/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8009/855, 3172/243

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 8009/855,3172/243

Given fractions are 8009/855,3172/243

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 8009,3172

Greatest Common Factor of Numerators i.e. GCF of 8009,3172 is 1 .

LCM of Denominators means LCM of 855,243 as per the given fractions.

LCM of 855,243 is 23085 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8009,3172

GCF of Fractions 8009/855,3172/243 is 1/23085

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8009,3172 By Matching Biggest Common Factor Method

Greatest Common Factor of 8009,3172 By Matching Biggest Common Factor Method

Factors of 8009

List of positive integer factors of 8009 that divides 8009 without a remainder.

1,8009

Factors of 3172

List of positive integer factors of 3172 that divides 3172 without a remainder.

1,2,4,13,26,52,61,122,244,793,1586,3172

Greatest Common Factor

We found the factors 8009,3172 . The biggest common factor number is the GCF number.
So the greatest common factor 8009,3172 is 1.

Lets's calculate LCM of 855,243

3 855, 243
3 285, 81
95, 27

∴ So the LCM of the given numbers is 3 x 3 x 95 x 27 = 23085

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23085

Therefore, the GCF of Fractions 8009/855,3172/243 is 1/23085

Least Common Multiple of 855,243 with GCF Formula

Least Common Multiple of 855,243 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 855,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(855,243) = 9

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

GCF(855,243) x common factors =9 x 1 = 9

LCM(855,243) = ( 855 × 243 ) / 9

LCM(855,243) = 207765 / 9

LCM(855,243) = 23085


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 8009/855, 3172/243

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 8009/855, 3172/243?

Answer: GCF of Numerators as per given numbers 8009/855, 3172/243 is

GCF of Numerators i.e. for 8009,3172 is 1

LCM of denominators i.e. for 855,243 is 23085.

Thus, GCF of Fractions is 1/23085.Finally, GCF of Fractions for 8009/855, 3172/243 is 1/23085.