Greatest Common Factor of 1047/582, 4941/3261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1047/582, 4941/3261

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 1047/582,4941/3261

Given fractions are 1047/582,4941/3261

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 1047,4941

Greatest Common Factor of Numerators i.e. GCF of 1047,4941 is 3 .

LCM of Denominators means LCM of 582,3261 as per the given fractions.

LCM of 582,3261 is 632634 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1047,4941

GCF of Fractions 1047/582,4941/3261 is 3/632634

3 1047, 4941
349, 1647

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

Greatest Common Factor of 1047,4941 By Matching Biggest Common Factor Method

Greatest Common Factor of 1047,4941 By Matching Biggest Common Factor Method

Factors of 1047

List of positive integer factors of 1047 that divides 1047 without a remainder.

1,3,349,1047

Factors of 4941

List of positive integer factors of 4941 that divides 4941 without a remainder.

1,3,9,27,61,81,183,549,1647,4941

Greatest Common Factor

We found the factors 1047,4941 . The biggest common factor number is the GCF number.
So the greatest common factor 1047,4941 is 3.

Lets's calculate LCM of 582,3261

3 582, 3261
194, 1087

∴ So the LCM of the given numbers is 3 x 194 x 1087 = 632634

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/632634

Therefore, the GCF of Fractions 1047/582,4941/3261 is 3/632634

Least Common Multiple of 582,3261 with GCF Formula

Least Common Multiple of 582,3261 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 582,3261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(582,3261) = 3

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

GCF(582,3261) x common factors =3 x 1 = 3

LCM(582,3261) = ( 582 × 3261 ) / 3

LCM(582,3261) = 1897902 / 3

LCM(582,3261) = 632634


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 1047/582, 4941/3261

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 1047/582, 4941/3261?

Answer: GCF of Numerators as per given numbers 1047/582, 4941/3261 is

GCF of Numerators i.e. for 1047,4941 is 3

LCM of denominators i.e. for 582,3261 is 632634.

Thus, GCF of Fractions is 3/632634.Finally, GCF of Fractions for 1047/582, 4941/3261 is 3/632634.