Greatest Common Factor of 4523/908, 8491/309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4523/908, 8491/309

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 4523/908,8491/309

Given fractions are 4523/908,8491/309

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 4523,8491

Greatest Common Factor of Numerators i.e. GCF of 4523,8491 is 1 .

LCM of Denominators means LCM of 908,309 as per the given fractions.

LCM of 908,309 is 280572 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4523,8491

GCF of Fractions 4523/908,8491/309 is 1/280572

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

Greatest Common Factor of 4523,8491 By Matching Biggest Common Factor Method

Greatest Common Factor of 4523,8491 By Matching Biggest Common Factor Method

Factors of 4523

List of positive integer factors of 4523 that divides 4523 without a remainder.

1,4523

Factors of 8491

List of positive integer factors of 8491 that divides 8491 without a remainder.

1,7,1213,8491

Greatest Common Factor

We found the factors 4523,8491 . The biggest common factor number is the GCF number.
So the greatest common factor 4523,8491 is 1.

Lets's calculate LCM of 908,309

Given numbers has no common factors except 1. So, there LCM is their product i.e 280572

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/280572

Therefore, the GCF of Fractions 4523/908,8491/309 is 1/280572

Least Common Multiple of 908,309 with GCF Formula

Least Common Multiple of 908,309 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 908,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(908,309) = 1

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

GCF(908,309) x common factors =1 x 1 = 1

LCM(908,309) = ( 908 × 309 ) / 1

LCM(908,309) = 280572 / 1

LCM(908,309) = 280572


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 4523/908, 8491/309

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 4523/908, 8491/309?

Answer: GCF of Numerators as per given numbers 4523/908, 8491/309 is

GCF of Numerators i.e. for 4523,8491 is 1

LCM of denominators i.e. for 908,309 is 280572.

Thus, GCF of Fractions is 1/280572.Finally, GCF of Fractions for 4523/908, 8491/309 is 1/280572.