Greatest Common Factor of 789/24, 108/5009

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 789/24, 108/5009

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 789/24,108/5009

Given fractions are 789/24,108/5009

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 789,108

Greatest Common Factor of Numerators i.e. GCF of 789,108 is 3 .

LCM of Denominators means LCM of 24,5009 as per the given fractions.

LCM of 24,5009 is 120216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 789,108

GCF of Fractions 789/24,108/5009 is 3/120216

3 789, 108
263, 36

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

Greatest Common Factor of 789,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 789,108 By Matching Biggest Common Factor Method

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 789,108 . The biggest common factor number is the GCF number.
So the greatest common factor 789,108 is 3.

Lets's calculate LCM of 24,5009

Given numbers has no common factors except 1. So, there LCM is their product i.e 120216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/120216

Therefore, the GCF of Fractions 789/24,108/5009 is 3/120216

Least Common Multiple of 24,5009 with GCF Formula

Least Common Multiple of 24,5009 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 24,5009 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,5009) = 1

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

GCF(24,5009) x common factors =1 x 1 = 1

LCM(24,5009) = ( 24 × 5009 ) / 1

LCM(24,5009) = 120216 / 1

LCM(24,5009) = 120216


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 789/24, 108/5009

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 789/24, 108/5009?

Answer: GCF of Numerators as per given numbers 789/24, 108/5009 is

GCF of Numerators i.e. for 789,108 is 3

LCM of denominators i.e. for 24,5009 is 120216.

Thus, GCF of Fractions is 3/120216.Finally, GCF of Fractions for 789/24, 108/5009 is 3/120216.