Greatest Common Factor of 2004/689, 7731/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2004/689, 7731/582

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 2004/689,7731/582

Given fractions are 2004/689,7731/582

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 2004,7731

Greatest Common Factor of Numerators i.e. GCF of 2004,7731 is 3 .

LCM of Denominators means LCM of 689,582 as per the given fractions.

LCM of 689,582 is 400998 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2004,7731

GCF of Fractions 2004/689,7731/582 is 3/400998

3 2004, 7731
668, 2577

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

Greatest Common Factor of 2004,7731 By Matching Biggest Common Factor Method

Greatest Common Factor of 2004,7731 By Matching Biggest Common Factor Method

Factors of 2004

List of positive integer factors of 2004 that divides 2004 without a remainder.

1,2,3,4,6,12,167,334,501,668,1002,2004

Factors of 7731

List of positive integer factors of 7731 that divides 7731 without a remainder.

1,3,9,859,2577,7731

Greatest Common Factor

We found the factors 2004,7731 . The biggest common factor number is the GCF number.
So the greatest common factor 2004,7731 is 3.

Lets's calculate LCM of 689,582

Given numbers has no common factors except 1. So, there LCM is their product i.e 400998

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/400998

Therefore, the GCF of Fractions 2004/689,7731/582 is 3/400998

Least Common Multiple of 689,582 with GCF Formula

Least Common Multiple of 689,582 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 689,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,582) = 1

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

GCF(689,582) x common factors =1 x 1 = 1

LCM(689,582) = ( 689 × 582 ) / 1

LCM(689,582) = 400998 / 1

LCM(689,582) = 400998


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 2004/689, 7731/582

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 2004/689, 7731/582?

Answer: GCF of Numerators as per given numbers 2004/689, 7731/582 is

GCF of Numerators i.e. for 2004,7731 is 3

LCM of denominators i.e. for 689,582 is 400998.

Thus, GCF of Fractions is 3/400998.Finally, GCF of Fractions for 2004/689, 7731/582 is 3/400998.