Greatest Common Factor of 1339/107, 5187/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1339/107, 5187/399

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 1339/107,5187/399

Given fractions are 1339/107,5187/399

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 1339,5187

Greatest Common Factor of Numerators i.e. GCF of 1339,5187 is 13 .

LCM of Denominators means LCM of 107,399 as per the given fractions.

LCM of 107,399 is 42693 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1339,5187

GCF of Fractions 1339/107,5187/399 is 13/42693

13 1339, 5187
103, 399

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

Greatest Common Factor of 1339,5187 By Matching Biggest Common Factor Method

Greatest Common Factor of 1339,5187 By Matching Biggest Common Factor Method

Factors of 1339

List of positive integer factors of 1339 that divides 1339 without a remainder.

1,13,103,1339

Factors of 5187

List of positive integer factors of 5187 that divides 5187 without a remainder.

1,3,7,13,19,21,39,57,91,133,247,273,399,741,1729,5187

Greatest Common Factor

We found the factors 1339,5187 . The biggest common factor number is the GCF number.
So the greatest common factor 1339,5187 is 13.

Lets's calculate LCM of 107,399

Given numbers has no common factors except 1. So, there LCM is their product i.e 42693

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/42693

Therefore, the GCF of Fractions 1339/107,5187/399 is 13/42693

Least Common Multiple of 107,399 with GCF Formula

Least Common Multiple of 107,399 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 107,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(107,399) = 1

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

GCF(107,399) x common factors =1 x 1 = 1

LCM(107,399) = ( 107 × 399 ) / 1

LCM(107,399) = 42693 / 1

LCM(107,399) = 42693


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 1339/107, 5187/399

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 1339/107, 5187/399?

Answer: GCF of Numerators as per given numbers 1339/107, 5187/399 is

GCF of Numerators i.e. for 1339,5187 is 13

LCM of denominators i.e. for 107,399 is 42693.

Thus, GCF of Fractions is 13/42693.Finally, GCF of Fractions for 1339/107, 5187/399 is 13/42693.