Greatest Common Factor of 9238/576, 9069/327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9238/576, 9069/327

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 9238/576,9069/327

Given fractions are 9238/576,9069/327

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 9238,9069

Greatest Common Factor of Numerators i.e. GCF of 9238,9069 is 1 .

LCM of Denominators means LCM of 576,327 as per the given fractions.

LCM of 576,327 is 62784 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9238,9069

GCF of Fractions 9238/576,9069/327 is 1/62784

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

Greatest Common Factor of 9238,9069 By Matching Biggest Common Factor Method

Greatest Common Factor of 9238,9069 By Matching Biggest Common Factor Method

Factors of 9238

List of positive integer factors of 9238 that divides 9238 without a remainder.

1,2,31,62,149,298,4619,9238

Factors of 9069

List of positive integer factors of 9069 that divides 9069 without a remainder.

1,3,3023,9069

Greatest Common Factor

We found the factors 9238,9069 . The biggest common factor number is the GCF number.
So the greatest common factor 9238,9069 is 1.

Lets's calculate LCM of 576,327

3 576, 327
192, 109

∴ So the LCM of the given numbers is 3 x 192 x 109 = 62784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62784

Therefore, the GCF of Fractions 9238/576,9069/327 is 1/62784

Least Common Multiple of 576,327 with GCF Formula

Least Common Multiple of 576,327 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 576,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(576,327) = 3

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

GCF(576,327) x common factors =3 x 1 = 3

LCM(576,327) = ( 576 × 327 ) / 3

LCM(576,327) = 188352 / 3

LCM(576,327) = 62784


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 9238/576, 9069/327

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 9238/576, 9069/327?

Answer: GCF of Numerators as per given numbers 9238/576, 9069/327 is

GCF of Numerators i.e. for 9238,9069 is 1

LCM of denominators i.e. for 576,327 is 62784.

Thus, GCF of Fractions is 1/62784.Finally, GCF of Fractions for 9238/576, 9069/327 is 1/62784.