Greatest Common Factor of 408/51, 162/13, 743/183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 408/51, 162/13, 743/183

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 408/51,162/13,743/183

Given fractions are 408/51,162/13,743/183

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 408,162,743

Greatest Common Factor of Numerators i.e. GCF of 408,162,743 is 1 .

LCM of Denominators means LCM of 51,13,183 as per the given fractions.

LCM of 51,13,183 is 40443 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 408,162,743

GCF of Fractions 408/51,162/13,743/183 is 1/40443

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

Greatest Common Factor of 408,162,743 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,162,743 By Matching Biggest Common Factor Method

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Greatest Common Factor

We found the factors 408,162,743 . The biggest common factor number is the GCF number.
So the greatest common factor 408,162,743 is 1.

Lets's calculate LCM of 51,13,183

3 51, 13, 183
17, 13, 61

∴ So the LCM of the given numbers is 3 x 17 x 13 x 61 = 40443

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40443

Therefore, the GCF of Fractions 408/51,162/13,743/183 is 1/40443

Least Common Multiple of 51,13,183 with GCF Formula

Least Common Multiple of 51,13,183 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 51,13,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,13,183) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(51,13,183) x common factors =1 x 3 = 3

LCM(51,13,183) = ( 51 × 13 × 183 ) / 3

LCM(51,13,183) = 121329 / 3

LCM(51,13,183) = 40443


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 408/51, 162/13, 743/183

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 408/51, 162/13, 743/183?

Answer: GCF of Numerators as per given numbers 408/51, 162/13, 743/183 is

GCF of Numerators i.e. for 408,162,743 is 1

LCM of denominators i.e. for 51,13,183 is 40443.

Thus, GCF of Fractions is 1/40443.Finally, GCF of Fractions for 408/51, 162/13, 743/183 is 1/40443.