Greatest Common Factor of 8984/203, 7233/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8984/203, 7233/165

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 8984/203,7233/165

Given fractions are 8984/203,7233/165

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 8984,7233

Greatest Common Factor of Numerators i.e. GCF of 8984,7233 is 1 .

LCM of Denominators means LCM of 203,165 as per the given fractions.

LCM of 203,165 is 33495 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8984,7233

GCF of Fractions 8984/203,7233/165 is 1/33495

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

Greatest Common Factor of 8984,7233 By Matching Biggest Common Factor Method

Greatest Common Factor of 8984,7233 By Matching Biggest Common Factor Method

Factors of 8984

List of positive integer factors of 8984 that divides 8984 without a remainder.

1,2,4,8,1123,2246,4492,8984

Factors of 7233

List of positive integer factors of 7233 that divides 7233 without a remainder.

1,3,2411,7233

Greatest Common Factor

We found the factors 8984,7233 . The biggest common factor number is the GCF number.
So the greatest common factor 8984,7233 is 1.

Lets's calculate LCM of 203,165

Given numbers has no common factors except 1. So, there LCM is their product i.e 33495

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33495

Therefore, the GCF of Fractions 8984/203,7233/165 is 1/33495

Least Common Multiple of 203,165 with GCF Formula

Least Common Multiple of 203,165 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 203,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(203,165) = 1

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

GCF(203,165) x common factors =1 x 1 = 1

LCM(203,165) = ( 203 × 165 ) / 1

LCM(203,165) = 33495 / 1

LCM(203,165) = 33495


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 8984/203, 7233/165

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 8984/203, 7233/165?

Answer: GCF of Numerators as per given numbers 8984/203, 7233/165 is

GCF of Numerators i.e. for 8984,7233 is 1

LCM of denominators i.e. for 203,165 is 33495.

Thus, GCF of Fractions is 1/33495.Finally, GCF of Fractions for 8984/203, 7233/165 is 1/33495.