Greatest Common Factor of 9389/58, 8204/394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9389/58, 8204/394

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 9389/58,8204/394

Given fractions are 9389/58,8204/394

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 9389,8204

Greatest Common Factor of Numerators i.e. GCF of 9389,8204 is 1 .

LCM of Denominators means LCM of 58,394 as per the given fractions.

LCM of 58,394 is 11426 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9389,8204

GCF of Fractions 9389/58,8204/394 is 1/11426

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

Greatest Common Factor of 9389,8204 By Matching Biggest Common Factor Method

Greatest Common Factor of 9389,8204 By Matching Biggest Common Factor Method

Factors of 9389

List of positive integer factors of 9389 that divides 9389 without a remainder.

1,41,229,9389

Factors of 8204

List of positive integer factors of 8204 that divides 8204 without a remainder.

1,2,4,7,14,28,293,586,1172,2051,4102,8204

Greatest Common Factor

We found the factors 9389,8204 . The biggest common factor number is the GCF number.
So the greatest common factor 9389,8204 is 1.

Lets's calculate LCM of 58,394

2 58, 394
29, 197

∴ So the LCM of the given numbers is 2 x 29 x 197 = 11426

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11426

Therefore, the GCF of Fractions 9389/58,8204/394 is 1/11426

Least Common Multiple of 58,394 with GCF Formula

Least Common Multiple of 58,394 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 58,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,394) = 2

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

GCF(58,394) x common factors =2 x 1 = 2

LCM(58,394) = ( 58 × 394 ) / 2

LCM(58,394) = 22852 / 2

LCM(58,394) = 11426


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 9389/58, 8204/394

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 9389/58, 8204/394?

Answer: GCF of Numerators as per given numbers 9389/58, 8204/394 is

GCF of Numerators i.e. for 9389,8204 is 1

LCM of denominators i.e. for 58,394 is 11426.

Thus, GCF of Fractions is 1/11426.Finally, GCF of Fractions for 9389/58, 8204/394 is 1/11426.