Greatest Common Factor of 2309/54, 3686/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2309/54, 3686/813

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 2309/54,3686/813

Given fractions are 2309/54,3686/813

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 2309,3686

Greatest Common Factor of Numerators i.e. GCF of 2309,3686 is 1 .

LCM of Denominators means LCM of 54,813 as per the given fractions.

LCM of 54,813 is 14634 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2309,3686

GCF of Fractions 2309/54,3686/813 is 1/14634

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

Greatest Common Factor of 2309,3686 By Matching Biggest Common Factor Method

Greatest Common Factor of 2309,3686 By Matching Biggest Common Factor Method

Factors of 2309

List of positive integer factors of 2309 that divides 2309 without a remainder.

1,2309

Factors of 3686

List of positive integer factors of 3686 that divides 3686 without a remainder.

1,2,19,38,97,194,1843,3686

Greatest Common Factor

We found the factors 2309,3686 . The biggest common factor number is the GCF number.
So the greatest common factor 2309,3686 is 1.

Lets's calculate LCM of 54,813

3 54, 813
18, 271

∴ So the LCM of the given numbers is 3 x 18 x 271 = 14634

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14634

Therefore, the GCF of Fractions 2309/54,3686/813 is 1/14634

Least Common Multiple of 54,813 with GCF Formula

Least Common Multiple of 54,813 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 54,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,813) = 3

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

GCF(54,813) x common factors =3 x 1 = 3

LCM(54,813) = ( 54 × 813 ) / 3

LCM(54,813) = 43902 / 3

LCM(54,813) = 14634


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 2309/54, 3686/813

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 2309/54, 3686/813?

Answer: GCF of Numerators as per given numbers 2309/54, 3686/813 is

GCF of Numerators i.e. for 2309,3686 is 1

LCM of denominators i.e. for 54,813 is 14634.

Thus, GCF of Fractions is 1/14634.Finally, GCF of Fractions for 2309/54, 3686/813 is 1/14634.