Greatest Common Factor of 8091/23, 4457/394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8091/23, 4457/394

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 8091/23,4457/394

Given fractions are 8091/23,4457/394

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 8091,4457

Greatest Common Factor of Numerators i.e. GCF of 8091,4457 is 1 .

LCM of Denominators means LCM of 23,394 as per the given fractions.

LCM of 23,394 is 9062 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8091,4457

GCF of Fractions 8091/23,4457/394 is 1/9062

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

Greatest Common Factor of 8091,4457 By Matching Biggest Common Factor Method

Greatest Common Factor of 8091,4457 By Matching Biggest Common Factor Method

Factors of 8091

List of positive integer factors of 8091 that divides 8091 without a remainder.

1,3,9,29,31,87,93,261,279,899,2697,8091

Factors of 4457

List of positive integer factors of 4457 that divides 4457 without a remainder.

1,4457

Greatest Common Factor

We found the factors 8091,4457 . The biggest common factor number is the GCF number.
So the greatest common factor 8091,4457 is 1.

Lets's calculate LCM of 23,394

Given numbers has no common factors except 1. So, there LCM is their product i.e 9062

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9062

Therefore, the GCF of Fractions 8091/23,4457/394 is 1/9062

Least Common Multiple of 23,394 with GCF Formula

Least Common Multiple of 23,394 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 23,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,394) = 1

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

GCF(23,394) x common factors =1 x 1 = 1

LCM(23,394) = ( 23 × 394 ) / 1

LCM(23,394) = 9062 / 1

LCM(23,394) = 9062


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 8091/23, 4457/394

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 8091/23, 4457/394?

Answer: GCF of Numerators as per given numbers 8091/23, 4457/394 is

GCF of Numerators i.e. for 8091,4457 is 1

LCM of denominators i.e. for 23,394 is 9062.

Thus, GCF of Fractions is 1/9062.Finally, GCF of Fractions for 8091/23, 4457/394 is 1/9062.