Greatest Common Factor of 9087/326, 6529/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9087/326, 6529/108

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 9087/326,6529/108

Given fractions are 9087/326,6529/108

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 9087,6529

Greatest Common Factor of Numerators i.e. GCF of 9087,6529 is 1 .

LCM of Denominators means LCM of 326,108 as per the given fractions.

LCM of 326,108 is 17604 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9087,6529

GCF of Fractions 9087/326,6529/108 is 1/17604

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

Greatest Common Factor of 9087,6529 By Matching Biggest Common Factor Method

Greatest Common Factor of 9087,6529 By Matching Biggest Common Factor Method

Factors of 9087

List of positive integer factors of 9087 that divides 9087 without a remainder.

1,3,13,39,233,699,3029,9087

Factors of 6529

List of positive integer factors of 6529 that divides 6529 without a remainder.

1,6529

Greatest Common Factor

We found the factors 9087,6529 . The biggest common factor number is the GCF number.
So the greatest common factor 9087,6529 is 1.

Lets's calculate LCM of 326,108

2 326, 108
163, 54

∴ So the LCM of the given numbers is 2 x 163 x 54 = 17604

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17604

Therefore, the GCF of Fractions 9087/326,6529/108 is 1/17604

Least Common Multiple of 326,108 with GCF Formula

Least Common Multiple of 326,108 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 326,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(326,108) = 2

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

GCF(326,108) x common factors =2 x 1 = 2

LCM(326,108) = ( 326 × 108 ) / 2

LCM(326,108) = 35208 / 2

LCM(326,108) = 17604


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 9087/326, 6529/108

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 9087/326, 6529/108?

Answer: GCF of Numerators as per given numbers 9087/326, 6529/108 is

GCF of Numerators i.e. for 9087,6529 is 1

LCM of denominators i.e. for 326,108 is 17604.

Thus, GCF of Fractions is 1/17604.Finally, GCF of Fractions for 9087/326, 6529/108 is 1/17604.