Greatest Common Factor of 108/2554, 609/7283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 108/2554, 609/7283

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 108/2554,609/7283

Given fractions are 108/2554,609/7283

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 108,609

Greatest Common Factor of Numerators i.e. GCF of 108,609 is 3 .

LCM of Denominators means LCM of 2554,7283 as per the given fractions.

LCM of 2554,7283 is 18600782 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 108,609

GCF of Fractions 108/2554,609/7283 is 3/18600782

3 108, 609
36, 203

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

Greatest Common Factor of 108,609 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,609 By Matching Biggest Common Factor Method

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Greatest Common Factor

We found the factors 108,609 . The biggest common factor number is the GCF number.
So the greatest common factor 108,609 is 3.

Lets's calculate LCM of 2554,7283

Given numbers has no common factors except 1. So, there LCM is their product i.e 18600782

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/18600782

Therefore, the GCF of Fractions 108/2554,609/7283 is 3/18600782

Least Common Multiple of 2554,7283 with GCF Formula

Least Common Multiple of 2554,7283 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 2554,7283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2554,7283) = 1

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

GCF(2554,7283) x common factors =1 x 1 = 1

LCM(2554,7283) = ( 2554 × 7283 ) / 1

LCM(2554,7283) = 18600782 / 1

LCM(2554,7283) = 18600782


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 108/2554, 609/7283

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 108/2554, 609/7283?

Answer: GCF of Numerators as per given numbers 108/2554, 609/7283 is

GCF of Numerators i.e. for 108,609 is 3

LCM of denominators i.e. for 2554,7283 is 18600782.

Thus, GCF of Fractions is 3/18600782.Finally, GCF of Fractions for 108/2554, 609/7283 is 3/18600782.