Greatest Common Factor of 789/408, 4182/7154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 789/408, 4182/7154

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 789/408,4182/7154

Given fractions are 789/408,4182/7154

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 789,4182

Greatest Common Factor of Numerators i.e. GCF of 789,4182 is 3 .

LCM of Denominators means LCM of 408,7154 as per the given fractions.

LCM of 408,7154 is 1459416 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 789,4182

GCF of Fractions 789/408,4182/7154 is 3/1459416

3 789, 4182
263, 1394

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

Greatest Common Factor of 789,4182 By Matching Biggest Common Factor Method

Greatest Common Factor of 789,4182 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 4182

List of positive integer factors of 4182 that divides 4182 without a remainder.

1,2,3,6,17,34,41,51,82,102,123,246,697,1394,2091,4182

Greatest Common Factor

We found the factors 789,4182 . The biggest common factor number is the GCF number.
So the greatest common factor 789,4182 is 3.

Lets's calculate LCM of 408,7154

2 408, 7154
204, 3577

∴ So the LCM of the given numbers is 2 x 204 x 3577 = 1459416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1459416

Therefore, the GCF of Fractions 789/408,4182/7154 is 3/1459416

Least Common Multiple of 408,7154 with GCF Formula

Least Common Multiple of 408,7154 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 408,7154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,7154) = 2

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

GCF(408,7154) x common factors =2 x 1 = 2

LCM(408,7154) = ( 408 × 7154 ) / 2

LCM(408,7154) = 2918832 / 2

LCM(408,7154) = 1459416


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 789/408, 4182/7154

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 789/408, 4182/7154?

Answer: GCF of Numerators as per given numbers 789/408, 4182/7154 is

GCF of Numerators i.e. for 789,4182 is 3

LCM of denominators i.e. for 408,7154 is 1459416.

Thus, GCF of Fractions is 3/1459416.Finally, GCF of Fractions for 789/408, 4182/7154 is 3/1459416.