Greatest Common Factor of 2613/442, 5832/5423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2613/442, 5832/5423

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 2613/442,5832/5423

Given fractions are 2613/442,5832/5423

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 2613,5832

Greatest Common Factor of Numerators i.e. GCF of 2613,5832 is 3 .

LCM of Denominators means LCM of 442,5423 as per the given fractions.

LCM of 442,5423 is 140998 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2613,5832

GCF of Fractions 2613/442,5832/5423 is 3/140998

3 2613, 5832
871, 1944

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

Greatest Common Factor of 2613,5832 By Matching Biggest Common Factor Method

Greatest Common Factor of 2613,5832 By Matching Biggest Common Factor Method

Factors of 2613

List of positive integer factors of 2613 that divides 2613 without a remainder.

1,3,13,39,67,201,871,2613

Factors of 5832

List of positive integer factors of 5832 that divides 5832 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,243,324,486,648,729,972,1458,1944,2916,5832

Greatest Common Factor

We found the factors 2613,5832 . The biggest common factor number is the GCF number.
So the greatest common factor 2613,5832 is 3.

Lets's calculate LCM of 442,5423

17 442, 5423
26, 319

∴ So the LCM of the given numbers is 17 x 26 x 319 = 140998

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/140998

Therefore, the GCF of Fractions 2613/442,5832/5423 is 3/140998

Least Common Multiple of 442,5423 with GCF Formula

Least Common Multiple of 442,5423 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 442,5423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(442,5423) = 17

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

GCF(442,5423) x common factors =17 x 1 = 17

LCM(442,5423) = ( 442 × 5423 ) / 17

LCM(442,5423) = 2396966 / 17

LCM(442,5423) = 140998


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 2613/442, 5832/5423

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 2613/442, 5832/5423?

Answer: GCF of Numerators as per given numbers 2613/442, 5832/5423 is

GCF of Numerators i.e. for 2613,5832 is 3

LCM of denominators i.e. for 442,5423 is 140998.

Thus, GCF of Fractions is 3/140998.Finally, GCF of Fractions for 2613/442, 5832/5423 is 3/140998.