Greatest Common Factor of 729/46, 243/593

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 729/46, 243/593

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 729/46,243/593

Given fractions are 729/46,243/593

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 729,243

Greatest Common Factor of Numerators i.e. GCF of 729,243 is 243 .

LCM of Denominators means LCM of 46,593 as per the given fractions.

LCM of 46,593 is 27278 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 729,243

GCF of Fractions 729/46,243/593 is 243/27278

3 729, 243
3 243, 81
3 27, 81
3 9, 27
3 3, 9
1, 3

∴ So the GCF of the given numbers is 3 x 3 x 3 x 3 x 3 = 243

Greatest Common Factor of 729,243 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,243 By Matching Biggest Common Factor Method

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Greatest Common Factor

We found the factors 729,243 . The biggest common factor number is the GCF number.
So the greatest common factor 729,243 is 243.

Lets's calculate LCM of 46,593

Given numbers has no common factors except 1. So, there LCM is their product i.e 27278

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 243/27278

Therefore, the GCF of Fractions 729/46,243/593 is 243/27278

Least Common Multiple of 46,593 with GCF Formula

Least Common Multiple of 46,593 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 46,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,593) = 1

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

GCF(46,593) x common factors =1 x 1 = 1

LCM(46,593) = ( 46 × 593 ) / 1

LCM(46,593) = 27278 / 1

LCM(46,593) = 27278


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 729/46, 243/593

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 729/46, 243/593?

Answer: GCF of Numerators as per given numbers 729/46, 243/593 is

GCF of Numerators i.e. for 729,243 is 243

LCM of denominators i.e. for 46,593 is 27278.

Thus, GCF of Fractions is 243/27278.Finally, GCF of Fractions for 729/46, 243/593 is 243/27278.