Greatest Common Factor of 8741/12, 5365/394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8741/12, 5365/394

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 8741/12,5365/394

Given fractions are 8741/12,5365/394

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 8741,5365

Greatest Common Factor of Numerators i.e. GCF of 8741,5365 is 1 .

LCM of Denominators means LCM of 12,394 as per the given fractions.

LCM of 12,394 is 2364 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8741,5365

GCF of Fractions 8741/12,5365/394 is 1/2364

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

Greatest Common Factor of 8741,5365 By Matching Biggest Common Factor Method

Greatest Common Factor of 8741,5365 By Matching Biggest Common Factor Method

Factors of 8741

List of positive integer factors of 8741 that divides 8741 without a remainder.

1,8741

Factors of 5365

List of positive integer factors of 5365 that divides 5365 without a remainder.

1,5,29,37,145,185,1073,5365

Greatest Common Factor

We found the factors 8741,5365 . The biggest common factor number is the GCF number.
So the greatest common factor 8741,5365 is 1.

Lets's calculate LCM of 12,394

2 12, 394
6, 197

∴ So the LCM of the given numbers is 2 x 6 x 197 = 2364

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2364

Therefore, the GCF of Fractions 8741/12,5365/394 is 1/2364

Least Common Multiple of 12,394 with GCF Formula

Least Common Multiple of 12,394 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 12,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,394) = 2

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

GCF(12,394) x common factors =2 x 1 = 2

LCM(12,394) = ( 12 × 394 ) / 2

LCM(12,394) = 4728 / 2

LCM(12,394) = 2364


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 8741/12, 5365/394

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 8741/12, 5365/394?

Answer: GCF of Numerators as per given numbers 8741/12, 5365/394 is

GCF of Numerators i.e. for 8741,5365 is 1

LCM of denominators i.e. for 12,394 is 2364.

Thus, GCF of Fractions is 1/2364.Finally, GCF of Fractions for 8741/12, 5365/394 is 1/2364.