Greatest Common Factor of 9255/48, 8934/327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9255/48, 8934/327

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 9255/48,8934/327

Given fractions are 9255/48,8934/327

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 9255,8934

Greatest Common Factor of Numerators i.e. GCF of 9255,8934 is 3 .

LCM of Denominators means LCM of 48,327 as per the given fractions.

LCM of 48,327 is 5232 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9255,8934

GCF of Fractions 9255/48,8934/327 is 3/5232

3 9255, 8934
3085, 2978

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9255,8934 By Matching Biggest Common Factor Method

Greatest Common Factor of 9255,8934 By Matching Biggest Common Factor Method

Factors of 9255

List of positive integer factors of 9255 that divides 9255 without a remainder.

1,3,5,15,617,1851,3085,9255

Factors of 8934

List of positive integer factors of 8934 that divides 8934 without a remainder.

1,2,3,6,1489,2978,4467,8934

Greatest Common Factor

We found the factors 9255,8934 . The biggest common factor number is the GCF number.
So the greatest common factor 9255,8934 is 3.

Lets's calculate LCM of 48,327

3 48, 327
16, 109

∴ So the LCM of the given numbers is 3 x 16 x 109 = 5232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5232

Therefore, the GCF of Fractions 9255/48,8934/327 is 3/5232

Least Common Multiple of 48,327 with GCF Formula

Least Common Multiple of 48,327 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 48,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,327) = 3

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

GCF(48,327) x common factors =3 x 1 = 3

LCM(48,327) = ( 48 × 327 ) / 3

LCM(48,327) = 15696 / 3

LCM(48,327) = 5232


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 9255/48, 8934/327

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 9255/48, 8934/327?

Answer: GCF of Numerators as per given numbers 9255/48, 8934/327 is

GCF of Numerators i.e. for 9255,8934 is 3

LCM of denominators i.e. for 48,327 is 5232.

Thus, GCF of Fractions is 3/5232.Finally, GCF of Fractions for 9255/48, 8934/327 is 3/5232.