Greatest Common Factor of 3939/27, 1300/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3939/27, 1300/686

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 3939/27,1300/686

Given fractions are 3939/27,1300/686

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 3939,1300

Greatest Common Factor of Numerators i.e. GCF of 3939,1300 is 13 .

LCM of Denominators means LCM of 27,686 as per the given fractions.

LCM of 27,686 is 18522 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3939,1300

GCF of Fractions 3939/27,1300/686 is 13/18522

13 3939, 1300
303, 100

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 3939,1300 By Matching Biggest Common Factor Method

Greatest Common Factor of 3939,1300 By Matching Biggest Common Factor Method

Factors of 3939

List of positive integer factors of 3939 that divides 3939 without a remainder.

1,3,13,39,101,303,1313,3939

Factors of 1300

List of positive integer factors of 1300 that divides 1300 without a remainder.

1,2,4,5,10,13,20,25,26,50,52,65,100,130,260,325,650,1300

Greatest Common Factor

We found the factors 3939,1300 . The biggest common factor number is the GCF number.
So the greatest common factor 3939,1300 is 13.

Lets's calculate LCM of 27,686

Given numbers has no common factors except 1. So, there LCM is their product i.e 18522

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/18522

Therefore, the GCF of Fractions 3939/27,1300/686 is 13/18522

Least Common Multiple of 27,686 with GCF Formula

Least Common Multiple of 27,686 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 27,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,686) = 1

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

GCF(27,686) x common factors =1 x 1 = 1

LCM(27,686) = ( 27 × 686 ) / 1

LCM(27,686) = 18522 / 1

LCM(27,686) = 18522


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 3939/27, 1300/686

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 3939/27, 1300/686?

Answer: GCF of Numerators as per given numbers 3939/27, 1300/686 is

GCF of Numerators i.e. for 3939,1300 is 13

LCM of denominators i.e. for 27,686 is 18522.

Thus, GCF of Fractions is 13/18522.Finally, GCF of Fractions for 3939/27, 1300/686 is 13/18522.