Greatest Common Factor of 144/500, 6936/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 144/500, 6936/923

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 144/500,6936/923

Given fractions are 144/500,6936/923

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 144,6936

Greatest Common Factor of Numerators i.e. GCF of 144,6936 is 24 .

LCM of Denominators means LCM of 500,923 as per the given fractions.

LCM of 500,923 is 461500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 144,6936

GCF of Fractions 144/500,6936/923 is 24/461500

2 144, 6936
2 72, 3468
2 36, 1734
3 18, 867
6, 289

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 144,6936 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,6936 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 6936

List of positive integer factors of 6936 that divides 6936 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,289,408,578,867,1156,1734,2312,3468,6936

Greatest Common Factor

We found the factors 144,6936 . The biggest common factor number is the GCF number.
So the greatest common factor 144,6936 is 24.

Lets's calculate LCM of 500,923

Given numbers has no common factors except 1. So, there LCM is their product i.e 461500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/461500

Therefore, the GCF of Fractions 144/500,6936/923 is 24/461500

Least Common Multiple of 500,923 with GCF Formula

Least Common Multiple of 500,923 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 500,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,923) = 1

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

GCF(500,923) x common factors =1 x 1 = 1

LCM(500,923) = ( 500 × 923 ) / 1

LCM(500,923) = 461500 / 1

LCM(500,923) = 461500


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 144/500, 6936/923

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 144/500, 6936/923?

Answer: GCF of Numerators as per given numbers 144/500, 6936/923 is

GCF of Numerators i.e. for 144,6936 is 24

LCM of denominators i.e. for 500,923 is 461500.

Thus, GCF of Fractions is 24/461500.Finally, GCF of Fractions for 144/500, 6936/923 is 24/461500.