Greatest Common Factor of 9333/83, 4245/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9333/83, 4245/578

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 9333/83,4245/578

Given fractions are 9333/83,4245/578

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 9333,4245

Greatest Common Factor of Numerators i.e. GCF of 9333,4245 is 3 .

LCM of Denominators means LCM of 83,578 as per the given fractions.

LCM of 83,578 is 47974 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9333,4245

GCF of Fractions 9333/83,4245/578 is 3/47974

3 9333, 4245
3111, 1415

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

Greatest Common Factor of 9333,4245 By Matching Biggest Common Factor Method

Greatest Common Factor of 9333,4245 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 4245

List of positive integer factors of 4245 that divides 4245 without a remainder.

1,3,5,15,283,849,1415,4245

Greatest Common Factor

We found the factors 9333,4245 . The biggest common factor number is the GCF number.
So the greatest common factor 9333,4245 is 3.

Lets's calculate LCM of 83,578

Given numbers has no common factors except 1. So, there LCM is their product i.e 47974

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/47974

Therefore, the GCF of Fractions 9333/83,4245/578 is 3/47974

Least Common Multiple of 83,578 with GCF Formula

Least Common Multiple of 83,578 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 83,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,578) = 1

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

GCF(83,578) x common factors =1 x 1 = 1

LCM(83,578) = ( 83 × 578 ) / 1

LCM(83,578) = 47974 / 1

LCM(83,578) = 47974


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 9333/83, 4245/578

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 9333/83, 4245/578?

Answer: GCF of Numerators as per given numbers 9333/83, 4245/578 is

GCF of Numerators i.e. for 9333,4245 is 3

LCM of denominators i.e. for 83,578 is 47974.

Thus, GCF of Fractions is 3/47974.Finally, GCF of Fractions for 9333/83, 4245/578 is 3/47974.