Greatest Common Factor of 9720/593, 5794/183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9720/593, 5794/183

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 9720/593,5794/183

Given fractions are 9720/593,5794/183

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 9720,5794

Greatest Common Factor of Numerators i.e. GCF of 9720,5794 is 2 .

LCM of Denominators means LCM of 593,183 as per the given fractions.

LCM of 593,183 is 108519 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9720,5794

GCF of Fractions 9720/593,5794/183 is 2/108519

2 9720, 5794
4860, 2897

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

Greatest Common Factor of 9720,5794 By Matching Biggest Common Factor Method

Greatest Common Factor of 9720,5794 By Matching Biggest Common Factor Method

Factors of 9720

List of positive integer factors of 9720 that divides 9720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,60,72,81,90,108,120,135,162,180,216,243,270,324,360,405,486,540,648,810,972,1080,1215,1620,1944,2430,3240,4860,9720

Factors of 5794

List of positive integer factors of 5794 that divides 5794 without a remainder.

1,2,2897,5794

Greatest Common Factor

We found the factors 9720,5794 . The biggest common factor number is the GCF number.
So the greatest common factor 9720,5794 is 2.

Lets's calculate LCM of 593,183

Given numbers has no common factors except 1. So, there LCM is their product i.e 108519

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/108519

Therefore, the GCF of Fractions 9720/593,5794/183 is 2/108519

Least Common Multiple of 593,183 with GCF Formula

Least Common Multiple of 593,183 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 593,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(593,183) = 1

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

GCF(593,183) x common factors =1 x 1 = 1

LCM(593,183) = ( 593 × 183 ) / 1

LCM(593,183) = 108519 / 1

LCM(593,183) = 108519


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 9720/593, 5794/183

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 9720/593, 5794/183?

Answer: GCF of Numerators as per given numbers 9720/593, 5794/183 is

GCF of Numerators i.e. for 9720,5794 is 2

LCM of denominators i.e. for 593,183 is 108519.

Thus, GCF of Fractions is 2/108519.Finally, GCF of Fractions for 9720/593, 5794/183 is 2/108519.