Greatest Common Factor of 7389/829, 5853/1798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7389/829, 5853/1798

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 7389/829,5853/1798

Given fractions are 7389/829,5853/1798

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 7389,5853

Greatest Common Factor of Numerators i.e. GCF of 7389,5853 is 3 .

LCM of Denominators means LCM of 829,1798 as per the given fractions.

LCM of 829,1798 is 1490542 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7389,5853

GCF of Fractions 7389/829,5853/1798 is 3/1490542

3 7389, 5853
2463, 1951

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7389,5853 By Matching Biggest Common Factor Method

Greatest Common Factor of 7389,5853 By Matching Biggest Common Factor Method

Factors of 7389

List of positive integer factors of 7389 that divides 7389 without a remainder.

1,3,9,821,2463,7389

Factors of 5853

List of positive integer factors of 5853 that divides 5853 without a remainder.

1,3,1951,5853

Greatest Common Factor

We found the factors 7389,5853 . The biggest common factor number is the GCF number.
So the greatest common factor 7389,5853 is 3.

Lets's calculate LCM of 829,1798

Given numbers has no common factors except 1. So, there LCM is their product i.e 1490542

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1490542

Therefore, the GCF of Fractions 7389/829,5853/1798 is 3/1490542

Least Common Multiple of 829,1798 with GCF Formula

Least Common Multiple of 829,1798 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 829,1798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(829,1798) = 1

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

GCF(829,1798) x common factors =1 x 1 = 1

LCM(829,1798) = ( 829 × 1798 ) / 1

LCM(829,1798) = 1490542 / 1

LCM(829,1798) = 1490542


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 7389/829, 5853/1798

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 7389/829, 5853/1798?

Answer: GCF of Numerators as per given numbers 7389/829, 5853/1798 is

GCF of Numerators i.e. for 7389,5853 is 3

LCM of denominators i.e. for 829,1798 is 1490542.

Thus, GCF of Fractions is 3/1490542.Finally, GCF of Fractions for 7389/829, 5853/1798 is 3/1490542.