Greatest Common Factor of 9233/472, 8384/1544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9233/472, 8384/1544

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 9233/472,8384/1544

Given fractions are 9233/472,8384/1544

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 9233,8384

Greatest Common Factor of Numerators i.e. GCF of 9233,8384 is 1 .

LCM of Denominators means LCM of 472,1544 as per the given fractions.

LCM of 472,1544 is 91096 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9233,8384

GCF of Fractions 9233/472,8384/1544 is 1/91096

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

Greatest Common Factor of 9233,8384 By Matching Biggest Common Factor Method

Greatest Common Factor of 9233,8384 By Matching Biggest Common Factor Method

Factors of 9233

List of positive integer factors of 9233 that divides 9233 without a remainder.

1,7,1319,9233

Factors of 8384

List of positive integer factors of 8384 that divides 8384 without a remainder.

1,2,4,8,16,32,64,131,262,524,1048,2096,4192,8384

Greatest Common Factor

We found the factors 9233,8384 . The biggest common factor number is the GCF number.
So the greatest common factor 9233,8384 is 1.

Lets's calculate LCM of 472,1544

2 472, 1544
2 236, 772
2 118, 386
59, 193

∴ So the LCM of the given numbers is 2 x 2 x 2 x 59 x 193 = 91096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91096

Therefore, the GCF of Fractions 9233/472,8384/1544 is 1/91096

Least Common Multiple of 472,1544 with GCF Formula

Least Common Multiple of 472,1544 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 472,1544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,1544) = 8

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

GCF(472,1544) x common factors =8 x 1 = 8

LCM(472,1544) = ( 472 × 1544 ) / 8

LCM(472,1544) = 728768 / 8

LCM(472,1544) = 91096


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 9233/472, 8384/1544

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 9233/472, 8384/1544?

Answer: GCF of Numerators as per given numbers 9233/472, 8384/1544 is

GCF of Numerators i.e. for 9233,8384 is 1

LCM of denominators i.e. for 472,1544 is 91096.

Thus, GCF of Fractions is 1/91096.Finally, GCF of Fractions for 9233/472, 8384/1544 is 1/91096.