Greatest Common Factor of 2504/829, 8729/2422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2504/829, 8729/2422

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 2504/829,8729/2422

Given fractions are 2504/829,8729/2422

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 2504,8729

Greatest Common Factor of Numerators i.e. GCF of 2504,8729 is 1 .

LCM of Denominators means LCM of 829,2422 as per the given fractions.

LCM of 829,2422 is 2007838 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2504,8729

GCF of Fractions 2504/829,8729/2422 is 1/2007838

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

Greatest Common Factor of 2504,8729 By Matching Biggest Common Factor Method

Greatest Common Factor of 2504,8729 By Matching Biggest Common Factor Method

Factors of 2504

List of positive integer factors of 2504 that divides 2504 without a remainder.

1,2,4,8,313,626,1252,2504

Factors of 8729

List of positive integer factors of 8729 that divides 8729 without a remainder.

1,7,29,43,203,301,1247,8729

Greatest Common Factor

We found the factors 2504,8729 . The biggest common factor number is the GCF number.
So the greatest common factor 2504,8729 is 1.

Lets's calculate LCM of 829,2422

Given numbers has no common factors except 1. So, there LCM is their product i.e 2007838

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2007838

Therefore, the GCF of Fractions 2504/829,8729/2422 is 1/2007838

Least Common Multiple of 829,2422 with GCF Formula

Least Common Multiple of 829,2422 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 829,2422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(829,2422) = 1

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

GCF(829,2422) x common factors =1 x 1 = 1

LCM(829,2422) = ( 829 × 2422 ) / 1

LCM(829,2422) = 2007838 / 1

LCM(829,2422) = 2007838


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 2504/829, 8729/2422

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 2504/829, 8729/2422?

Answer: GCF of Numerators as per given numbers 2504/829, 8729/2422 is

GCF of Numerators i.e. for 2504,8729 is 1

LCM of denominators i.e. for 829,2422 is 2007838.

Thus, GCF of Fractions is 1/2007838.Finally, GCF of Fractions for 2504/829, 8729/2422 is 1/2007838.