Greatest Common Factor of 2005/724, 4381/8886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2005/724, 4381/8886

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 2005/724,4381/8886

Given fractions are 2005/724,4381/8886

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 2005,4381

Greatest Common Factor of Numerators i.e. GCF of 2005,4381 is 1 .

LCM of Denominators means LCM of 724,8886 as per the given fractions.

LCM of 724,8886 is 3216732 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2005,4381

GCF of Fractions 2005/724,4381/8886 is 1/3216732

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

Greatest Common Factor of 2005,4381 By Matching Biggest Common Factor Method

Greatest Common Factor of 2005,4381 By Matching Biggest Common Factor Method

Factors of 2005

List of positive integer factors of 2005 that divides 2005 without a remainder.

1,5,401,2005

Factors of 4381

List of positive integer factors of 4381 that divides 4381 without a remainder.

1,13,337,4381

Greatest Common Factor

We found the factors 2005,4381 . The biggest common factor number is the GCF number.
So the greatest common factor 2005,4381 is 1.

Lets's calculate LCM of 724,8886

2 724, 8886
362, 4443

∴ So the LCM of the given numbers is 2 x 362 x 4443 = 3216732

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3216732

Therefore, the GCF of Fractions 2005/724,4381/8886 is 1/3216732

Least Common Multiple of 724,8886 with GCF Formula

Least Common Multiple of 724,8886 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 724,8886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,8886) = 2

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

GCF(724,8886) x common factors =2 x 1 = 2

LCM(724,8886) = ( 724 × 8886 ) / 2

LCM(724,8886) = 6433464 / 2

LCM(724,8886) = 3216732


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 2005/724, 4381/8886

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 2005/724, 4381/8886?

Answer: GCF of Numerators as per given numbers 2005/724, 4381/8886 is

GCF of Numerators i.e. for 2005,4381 is 1

LCM of denominators i.e. for 724,8886 is 3216732.

Thus, GCF of Fractions is 1/3216732.Finally, GCF of Fractions for 2005/724, 4381/8886 is 1/3216732.