Greatest Common Factor of 90/539, 2468/2013

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 90/539, 2468/2013

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 90/539,2468/2013

Given fractions are 90/539,2468/2013

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 90,2468

Greatest Common Factor of Numerators i.e. GCF of 90,2468 is 2 .

LCM of Denominators means LCM of 539,2013 as per the given fractions.

LCM of 539,2013 is 98637 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,2468

GCF of Fractions 90/539,2468/2013 is 2/98637

2 90, 2468
45, 1234

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

Greatest Common Factor of 90,2468 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,2468 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 2468

List of positive integer factors of 2468 that divides 2468 without a remainder.

1,2,4,617,1234,2468

Greatest Common Factor

We found the factors 90,2468 . The biggest common factor number is the GCF number.
So the greatest common factor 90,2468 is 2.


Lets's calculate LCM of 539,2013

11 539, 2013
49, 183

∴ So the LCM of the given numbers is 11 x 49 x 183 = 98637

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/98637

Therefore, the GCF of Fractions 90/539,2468/2013 is 2/98637

Least Common Multiple of 539,2013 with GCF Formula

Least Common Multiple of 539,2013 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 539,2013 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(539,2013) = 11

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

GCF(539,2013) x common factors =11 x 1 = 11

LCM(539,2013) = ( 539 × 2013 ) / 11

LCM(539,2013) = 1085007 / 11

LCM(539,2013) = 98637


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 90/539, 2468/2013

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 90/539, 2468/2013?

Answer: GCF of Numerators as per given numbers 90/539, 2468/2013 is

GCF of Numerators i.e. for 90,2468 is 2

LCM of denominators i.e. for 539,2013 is 98637.

Thus, GCF of Fractions is 2/98637.Finally, GCF of Fractions for 90/539, 2468/2013 is 2/98637.