Greatest Common Factor of 5576/590, 2998/4372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5576/590, 2998/4372

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 5576/590,2998/4372

Given fractions are 5576/590,2998/4372

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 5576,2998

Greatest Common Factor of Numerators i.e. GCF of 5576,2998 is 2 .

LCM of Denominators means LCM of 590,4372 as per the given fractions.

LCM of 590,4372 is 1289740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5576,2998

GCF of Fractions 5576/590,2998/4372 is 2/1289740

2 5576, 2998
2788, 1499

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5576,2998 By Matching Biggest Common Factor Method

Greatest Common Factor of 5576,2998 By Matching Biggest Common Factor Method

Factors of 5576

List of positive integer factors of 5576 that divides 5576 without a remainder.

1,2,4,8,17,34,41,68,82,136,164,328,697,1394,2788,5576

Factors of 2998

List of positive integer factors of 2998 that divides 2998 without a remainder.

1,2,1499,2998

Greatest Common Factor

We found the factors 5576,2998 . The biggest common factor number is the GCF number.
So the greatest common factor 5576,2998 is 2.

Lets's calculate LCM of 590,4372

2 590, 4372
295, 2186

∴ So the LCM of the given numbers is 2 x 295 x 2186 = 1289740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1289740

Therefore, the GCF of Fractions 5576/590,2998/4372 is 2/1289740

Least Common Multiple of 590,4372 with GCF Formula

Least Common Multiple of 590,4372 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 590,4372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(590,4372) = 2

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

GCF(590,4372) x common factors =2 x 1 = 2

LCM(590,4372) = ( 590 × 4372 ) / 2

LCM(590,4372) = 2579480 / 2

LCM(590,4372) = 1289740


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 5576/590, 2998/4372

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 5576/590, 2998/4372?

Answer: GCF of Numerators as per given numbers 5576/590, 2998/4372 is

GCF of Numerators i.e. for 5576,2998 is 2

LCM of denominators i.e. for 590,4372 is 1289740.

Thus, GCF of Fractions is 2/1289740.Finally, GCF of Fractions for 5576/590, 2998/4372 is 2/1289740.