Greatest Common Factor of 259/18, 813/9918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 259/18, 813/9918

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 259/18,813/9918

Given fractions are 259/18,813/9918

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 259,813

Greatest Common Factor of Numerators i.e. GCF of 259,813 is 1 .

LCM of Denominators means LCM of 18,9918 as per the given fractions.

LCM of 18,9918 is 9918 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 259,813

GCF of Fractions 259/18,813/9918 is 1/9918

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

Greatest Common Factor of 259,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 259,813 By Matching Biggest Common Factor Method

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 259,813 . The biggest common factor number is the GCF number.
So the greatest common factor 259,813 is 1.

Lets's calculate LCM of 18,9918

2 18, 9918
3 9, 4959
3 3, 1653
1, 551

∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 551 = 9918

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9918

Therefore, the GCF of Fractions 259/18,813/9918 is 1/9918

Least Common Multiple of 18,9918 with GCF Formula

Least Common Multiple of 18,9918 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 18,9918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,9918) = 18

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

GCF(18,9918) x common factors =18 x 1 = 18

LCM(18,9918) = ( 18 × 9918 ) / 18

LCM(18,9918) = 178524 / 18

LCM(18,9918) = 9918


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 259/18, 813/9918

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 259/18, 813/9918?

Answer: GCF of Numerators as per given numbers 259/18, 813/9918 is

GCF of Numerators i.e. for 259,813 is 1

LCM of denominators i.e. for 18,9918 is 9918.

Thus, GCF of Fractions is 1/9918.Finally, GCF of Fractions for 259/18, 813/9918 is 1/9918.