Greatest Common Factor of 13/679, 337/739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 13/679, 337/739

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 13/679,337/739

Given fractions are 13/679,337/739

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 13,337

Greatest Common Factor of Numerators i.e. GCF of 13,337 is 1 .

LCM of Denominators means LCM of 679,739 as per the given fractions.

LCM of 679,739 is 501781 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,337

GCF of Fractions 13/679,337/739 is 1/501781

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

Greatest Common Factor of 13,337 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,337 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Greatest Common Factor

We found the factors 13,337 . The biggest common factor number is the GCF number.
So the greatest common factor 13,337 is 1.


Lets's calculate LCM of 679,739

Given numbers has no common factors except 1. So, there LCM is their product i.e 501781

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/501781

Therefore, the GCF of Fractions 13/679,337/739 is 1/501781

Least Common Multiple of 679,739 with GCF Formula

Least Common Multiple of 679,739 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 679,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,739) = 1

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

GCF(679,739) x common factors =1 x 1 = 1

LCM(679,739) = ( 679 × 739 ) / 1

LCM(679,739) = 501781 / 1

LCM(679,739) = 501781


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 13/679, 337/739

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 13/679, 337/739?

Answer: GCF of Numerators as per given numbers 13/679, 337/739 is

GCF of Numerators i.e. for 13,337 is 1

LCM of denominators i.e. for 679,739 is 501781.

Thus, GCF of Fractions is 1/501781.Finally, GCF of Fractions for 13/679, 337/739 is 1/501781.