Greatest Common Factor of 9333/365, 8906/2136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9333/365, 8906/2136

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 9333/365,8906/2136

Given fractions are 9333/365,8906/2136

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 9333,8906

Greatest Common Factor of Numerators i.e. GCF of 9333,8906 is 61 .

LCM of Denominators means LCM of 365,2136 as per the given fractions.

LCM of 365,2136 is 779640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9333,8906

GCF of Fractions 9333/365,8906/2136 is 61/779640

61 9333, 8906
153, 146

∴ So the GCF of the given numbers is 61 = 61

Greatest Common Factor of 9333,8906 By Matching Biggest Common Factor Method

Greatest Common Factor of 9333,8906 By Matching Biggest Common Factor Method

Factors of 9333

List of positive integer factors of 9333 that divides 9333 without a remainder.

1,3,9,17,51,61,153,183,549,1037,3111,9333

Factors of 8906

List of positive integer factors of 8906 that divides 8906 without a remainder.

1,2,61,73,122,146,4453,8906

Greatest Common Factor

We found the factors 9333,8906 . The biggest common factor number is the GCF number.
So the greatest common factor 9333,8906 is 61.

Lets's calculate LCM of 365,2136

Given numbers has no common factors except 1. So, there LCM is their product i.e 779640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/779640

Therefore, the GCF of Fractions 9333/365,8906/2136 is 61/779640

Least Common Multiple of 365,2136 with GCF Formula

Least Common Multiple of 365,2136 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 365,2136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,2136) = 1

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

GCF(365,2136) x common factors =1 x 1 = 1

LCM(365,2136) = ( 365 × 2136 ) / 1

LCM(365,2136) = 779640 / 1

LCM(365,2136) = 779640


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 9333/365, 8906/2136

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 9333/365, 8906/2136?

Answer: GCF of Numerators as per given numbers 9333/365, 8906/2136 is

GCF of Numerators i.e. for 9333,8906 is 61

LCM of denominators i.e. for 365,2136 is 779640.

Thus, GCF of Fractions is 61/779640.Finally, GCF of Fractions for 9333/365, 8906/2136 is 61/779640.