Greatest Common Factor of 2589/31, 5169/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2589/31, 5169/586

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 2589/31,5169/586

Given fractions are 2589/31,5169/586

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 2589,5169

Greatest Common Factor of Numerators i.e. GCF of 2589,5169 is 3 .

LCM of Denominators means LCM of 31,586 as per the given fractions.

LCM of 31,586 is 18166 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2589,5169

GCF of Fractions 2589/31,5169/586 is 3/18166

3 2589, 5169
863, 1723

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

Greatest Common Factor of 2589,5169 By Matching Biggest Common Factor Method

Greatest Common Factor of 2589,5169 By Matching Biggest Common Factor Method

Factors of 2589

List of positive integer factors of 2589 that divides 2589 without a remainder.

1,3,863,2589

Factors of 5169

List of positive integer factors of 5169 that divides 5169 without a remainder.

1,3,1723,5169

Greatest Common Factor

We found the factors 2589,5169 . The biggest common factor number is the GCF number.
So the greatest common factor 2589,5169 is 3.

Lets's calculate LCM of 31,586

Given numbers has no common factors except 1. So, there LCM is their product i.e 18166

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/18166

Therefore, the GCF of Fractions 2589/31,5169/586 is 3/18166

Least Common Multiple of 31,586 with GCF Formula

Least Common Multiple of 31,586 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 31,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,586) = 1

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

GCF(31,586) x common factors =1 x 1 = 1

LCM(31,586) = ( 31 × 586 ) / 1

LCM(31,586) = 18166 / 1

LCM(31,586) = 18166


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 2589/31, 5169/586

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 2589/31, 5169/586?

Answer: GCF of Numerators as per given numbers 2589/31, 5169/586 is

GCF of Numerators i.e. for 2589,5169 is 3

LCM of denominators i.e. for 31,586 is 18166.

Thus, GCF of Fractions is 3/18166.Finally, GCF of Fractions for 2589/31, 5169/586 is 3/18166.