Greatest Common Factor of 589/26, 831/13, 814/95

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 589/26, 831/13, 814/95

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 589/26,831/13,814/95

Given fractions are 589/26,831/13,814/95

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 589,831,814

Greatest Common Factor of Numerators i.e. GCF of 589,831,814 is 1 .

LCM of Denominators means LCM of 26,13,95 as per the given fractions.

LCM of 26,13,95 is 2470 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 589,831,814

GCF of Fractions 589/26,831/13,814/95 is 1/2470

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

Greatest Common Factor of 589,831,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 589,831,814 By Matching Biggest Common Factor Method

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 589,831,814 . The biggest common factor number is the GCF number.
So the greatest common factor 589,831,814 is 1.

Lets's calculate LCM of 26,13,95

13 26, 13, 95
2, 1, 95

∴ So the LCM of the given numbers is 13 x 2 x 1 x 95 = 2470

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2470

Therefore, the GCF of Fractions 589/26,831/13,814/95 is 1/2470

Least Common Multiple of 26,13,95 with GCF Formula

Least Common Multiple of 26,13,95 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 26,13,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,13,95) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(26,13,95) x common factors =1 x 13 = 13

LCM(26,13,95) = ( 26 × 13 × 95 ) / 13

LCM(26,13,95) = 32110 / 13

LCM(26,13,95) = 2470


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 589/26, 831/13, 814/95

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 589/26, 831/13, 814/95?

Answer: GCF of Numerators as per given numbers 589/26, 831/13, 814/95 is

GCF of Numerators i.e. for 589,831,814 is 1

LCM of denominators i.e. for 26,13,95 is 2470.

Thus, GCF of Fractions is 1/2470.Finally, GCF of Fractions for 589/26, 831/13, 814/95 is 1/2470.