Greatest Common Factor of 6837/587, 2409/1004

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6837/587, 2409/1004

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 6837/587,2409/1004

Given fractions are 6837/587,2409/1004

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 6837,2409

Greatest Common Factor of Numerators i.e. GCF of 6837,2409 is 3 .

LCM of Denominators means LCM of 587,1004 as per the given fractions.

LCM of 587,1004 is 589348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6837,2409

GCF of Fractions 6837/587,2409/1004 is 3/589348

3 6837, 2409
2279, 803

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

Greatest Common Factor of 6837,2409 By Matching Biggest Common Factor Method

Greatest Common Factor of 6837,2409 By Matching Biggest Common Factor Method

Factors of 6837

List of positive integer factors of 6837 that divides 6837 without a remainder.

1,3,43,53,129,159,2279,6837

Factors of 2409

List of positive integer factors of 2409 that divides 2409 without a remainder.

1,3,11,33,73,219,803,2409

Greatest Common Factor

We found the factors 6837,2409 . The biggest common factor number is the GCF number.
So the greatest common factor 6837,2409 is 3.

Lets's calculate LCM of 587,1004

Given numbers has no common factors except 1. So, there LCM is their product i.e 589348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/589348

Therefore, the GCF of Fractions 6837/587,2409/1004 is 3/589348

Least Common Multiple of 587,1004 with GCF Formula

Least Common Multiple of 587,1004 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 587,1004 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(587,1004) = 1

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

GCF(587,1004) x common factors =1 x 1 = 1

LCM(587,1004) = ( 587 × 1004 ) / 1

LCM(587,1004) = 589348 / 1

LCM(587,1004) = 589348


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 6837/587, 2409/1004

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 6837/587, 2409/1004?

Answer: GCF of Numerators as per given numbers 6837/587, 2409/1004 is

GCF of Numerators i.e. for 6837,2409 is 3

LCM of denominators i.e. for 587,1004 is 589348.

Thus, GCF of Fractions is 3/589348.Finally, GCF of Fractions for 6837/587, 2409/1004 is 3/589348.