Greatest Common Factor of 593/540, 744/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 593/540, 744/324

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 593/540,744/324

Given fractions are 593/540,744/324

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 593,744

Greatest Common Factor of Numerators i.e. GCF of 593,744 is 1 .

LCM of Denominators means LCM of 540,324 as per the given fractions.

LCM of 540,324 is 1620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 593,744

GCF of Fractions 593/540,744/324 is 1/1620

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 593,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 593,744 By Matching Biggest Common Factor Method

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 593,744 . The biggest common factor number is the GCF number.
So the greatest common factor 593,744 is 1.

Lets's calculate LCM of 540,324

2 540, 324
2 270, 162
3 135, 81
3 45, 27
3 15, 9
5, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 5 x 3 = 1620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1620

Therefore, the GCF of Fractions 593/540,744/324 is 1/1620

Least Common Multiple of 540,324 with GCF Formula

Least Common Multiple of 540,324 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 540,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,324) = 108

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

GCF(540,324) x common factors =108 x 1 = 108

LCM(540,324) = ( 540 × 324 ) / 108

LCM(540,324) = 174960 / 108

LCM(540,324) = 1620


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 593/540, 744/324

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 593/540, 744/324?

Answer: GCF of Numerators as per given numbers 593/540, 744/324 is

GCF of Numerators i.e. for 593,744 is 1

LCM of denominators i.e. for 540,324 is 1620.

Thus, GCF of Fractions is 1/1620.Finally, GCF of Fractions for 593/540, 744/324 is 1/1620.