Greatest Common Factor of 230/90, 722/5493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 230/90, 722/5493

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 230/90,722/5493

Given fractions are 230/90,722/5493

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 230,722

Greatest Common Factor of Numerators i.e. GCF of 230,722 is 2 .

LCM of Denominators means LCM of 90,5493 as per the given fractions.

LCM of 90,5493 is 164790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 230,722

GCF of Fractions 230/90,722/5493 is 2/164790

2 230, 722
115, 361

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

Greatest Common Factor of 230,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,722 By Matching Biggest Common Factor Method

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 230,722 . The biggest common factor number is the GCF number.
So the greatest common factor 230,722 is 2.

Lets's calculate LCM of 90,5493

3 90, 5493
30, 1831

∴ So the LCM of the given numbers is 3 x 30 x 1831 = 164790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/164790

Therefore, the GCF of Fractions 230/90,722/5493 is 2/164790

Least Common Multiple of 90,5493 with GCF Formula

Least Common Multiple of 90,5493 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 90,5493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,5493) = 3

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

GCF(90,5493) x common factors =3 x 1 = 3

LCM(90,5493) = ( 90 × 5493 ) / 3

LCM(90,5493) = 494370 / 3

LCM(90,5493) = 164790


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 230/90, 722/5493

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 230/90, 722/5493?

Answer: GCF of Numerators as per given numbers 230/90, 722/5493 is

GCF of Numerators i.e. for 230,722 is 2

LCM of denominators i.e. for 90,5493 is 164790.

Thus, GCF of Fractions is 2/164790.Finally, GCF of Fractions for 230/90, 722/5493 is 2/164790.