Greatest Common Factor of 5040/726, 2381/843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5040/726, 2381/843

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 5040/726,2381/843

Given fractions are 5040/726,2381/843

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 5040,2381

Greatest Common Factor of Numerators i.e. GCF of 5040,2381 is 1 .

LCM of Denominators means LCM of 726,843 as per the given fractions.

LCM of 726,843 is 204006 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5040,2381

GCF of Fractions 5040/726,2381/843 is 1/204006

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

Greatest Common Factor of 5040,2381 By Matching Biggest Common Factor Method

Greatest Common Factor of 5040,2381 By Matching Biggest Common Factor Method

Factors of 5040

List of positive integer factors of 5040 that divides 5040 without a remainder.

1,2,3,4,5,6,7,8,9,10,12,14,15,16,18,20,21,24,28,30,35,36,40,42,45,48,56,60,63,70,72,80,84,90,105,112,120,126,140,144,168,180,210,240,252,280,315,336,360,420,504,560,630,720,840,1008,1260,1680,2520,5040

Factors of 2381

List of positive integer factors of 2381 that divides 2381 without a remainder.

1,2381

Greatest Common Factor

We found the factors 5040,2381 . The biggest common factor number is the GCF number.
So the greatest common factor 5040,2381 is 1.

Lets's calculate LCM of 726,843

3 726, 843
242, 281

∴ So the LCM of the given numbers is 3 x 242 x 281 = 204006

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/204006

Therefore, the GCF of Fractions 5040/726,2381/843 is 1/204006

Least Common Multiple of 726,843 with GCF Formula

Least Common Multiple of 726,843 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 726,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,843) = 3

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

GCF(726,843) x common factors =3 x 1 = 3

LCM(726,843) = ( 726 × 843 ) / 3

LCM(726,843) = 612018 / 3

LCM(726,843) = 204006


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 5040/726, 2381/843

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 5040/726, 2381/843?

Answer: GCF of Numerators as per given numbers 5040/726, 2381/843 is

GCF of Numerators i.e. for 5040,2381 is 1

LCM of denominators i.e. for 726,843 is 204006.

Thus, GCF of Fractions is 1/204006.Finally, GCF of Fractions for 5040/726, 2381/843 is 1/204006.