Greatest Common Factor of 338/16, 430/34, 393/23

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 338/16, 430/34, 393/23

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 338/16,430/34,393/23

Given fractions are 338/16,430/34,393/23

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 338,430,393

Greatest Common Factor of Numerators i.e. GCF of 338,430,393 is 1 .

LCM of Denominators means LCM of 16,34,23 as per the given fractions.

LCM of 16,34,23 is 6256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 338,430,393

GCF of Fractions 338/16,430/34,393/23 is 1/6256

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

Greatest Common Factor of 338,430,393 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,430,393 By Matching Biggest Common Factor Method

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Greatest Common Factor

We found the factors 338,430,393 . The biggest common factor number is the GCF number.
So the greatest common factor 338,430,393 is 1.

Lets's calculate LCM of 16,34,23

2 16, 34, 23
8, 17, 23

∴ So the LCM of the given numbers is 2 x 8 x 17 x 23 = 6256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6256

Therefore, the GCF of Fractions 338/16,430/34,393/23 is 1/6256

Least Common Multiple of 16,34,23 with GCF Formula

Least Common Multiple of 16,34,23 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 16,34,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,34,23) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(16,34,23) x common factors =1 x 2 = 2

LCM(16,34,23) = ( 16 × 34 × 23 ) / 2

LCM(16,34,23) = 12512 / 2

LCM(16,34,23) = 6256


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 338/16, 430/34, 393/23

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 338/16, 430/34, 393/23?

Answer: GCF of Numerators as per given numbers 338/16, 430/34, 393/23 is

GCF of Numerators i.e. for 338,430,393 is 1

LCM of denominators i.e. for 16,34,23 is 6256.

Thus, GCF of Fractions is 1/6256.Finally, GCF of Fractions for 338/16, 430/34, 393/23 is 1/6256.