Greatest Common Factor of 5739/363, 9413/7344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5739/363, 9413/7344

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 5739/363,9413/7344

Given fractions are 5739/363,9413/7344

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 5739,9413

Greatest Common Factor of Numerators i.e. GCF of 5739,9413 is 1 .

LCM of Denominators means LCM of 363,7344 as per the given fractions.

LCM of 363,7344 is 888624 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5739,9413

GCF of Fractions 5739/363,9413/7344 is 1/888624

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

Greatest Common Factor of 5739,9413 By Matching Biggest Common Factor Method

Greatest Common Factor of 5739,9413 By Matching Biggest Common Factor Method

Factors of 5739

List of positive integer factors of 5739 that divides 5739 without a remainder.

1,3,1913,5739

Factors of 9413

List of positive integer factors of 9413 that divides 9413 without a remainder.

1,9413

Greatest Common Factor

We found the factors 5739,9413 . The biggest common factor number is the GCF number.
So the greatest common factor 5739,9413 is 1.

Lets's calculate LCM of 363,7344

3 363, 7344
121, 2448

∴ So the LCM of the given numbers is 3 x 121 x 2448 = 888624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/888624

Therefore, the GCF of Fractions 5739/363,9413/7344 is 1/888624

Least Common Multiple of 363,7344 with GCF Formula

Least Common Multiple of 363,7344 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 363,7344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,7344) = 3

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

GCF(363,7344) x common factors =3 x 1 = 3

LCM(363,7344) = ( 363 × 7344 ) / 3

LCM(363,7344) = 2665872 / 3

LCM(363,7344) = 888624


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 5739/363, 9413/7344

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 5739/363, 9413/7344?

Answer: GCF of Numerators as per given numbers 5739/363, 9413/7344 is

GCF of Numerators i.e. for 5739,9413 is 1

LCM of denominators i.e. for 363,7344 is 888624.

Thus, GCF of Fractions is 1/888624.Finally, GCF of Fractions for 5739/363, 9413/7344 is 1/888624.