Greatest Common Factor of 1041/582, 6972/2337

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1041/582, 6972/2337

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 1041/582,6972/2337

Given fractions are 1041/582,6972/2337

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 1041,6972

Greatest Common Factor of Numerators i.e. GCF of 1041,6972 is 3 .

LCM of Denominators means LCM of 582,2337 as per the given fractions.

LCM of 582,2337 is 453378 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1041,6972

GCF of Fractions 1041/582,6972/2337 is 3/453378

3 1041, 6972
347, 2324

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

Greatest Common Factor of 1041,6972 By Matching Biggest Common Factor Method

Greatest Common Factor of 1041,6972 By Matching Biggest Common Factor Method

Factors of 1041

List of positive integer factors of 1041 that divides 1041 without a remainder.

1,3,347,1041

Factors of 6972

List of positive integer factors of 6972 that divides 6972 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,83,84,166,249,332,498,581,996,1162,1743,2324,3486,6972

Greatest Common Factor

We found the factors 1041,6972 . The biggest common factor number is the GCF number.
So the greatest common factor 1041,6972 is 3.

Lets's calculate LCM of 582,2337

3 582, 2337
194, 779

∴ So the LCM of the given numbers is 3 x 194 x 779 = 453378

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/453378

Therefore, the GCF of Fractions 1041/582,6972/2337 is 3/453378

Least Common Multiple of 582,2337 with GCF Formula

Least Common Multiple of 582,2337 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 582,2337 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(582,2337) = 3

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

GCF(582,2337) x common factors =3 x 1 = 3

LCM(582,2337) = ( 582 × 2337 ) / 3

LCM(582,2337) = 1360134 / 3

LCM(582,2337) = 453378


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 1041/582, 6972/2337

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 1041/582, 6972/2337?

Answer: GCF of Numerators as per given numbers 1041/582, 6972/2337 is

GCF of Numerators i.e. for 1041,6972 is 3

LCM of denominators i.e. for 582,2337 is 453378.

Thus, GCF of Fractions is 3/453378.Finally, GCF of Fractions for 1041/582, 6972/2337 is 3/453378.