Greatest Common Factor of 9357/243, 4003/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9357/243, 4003/152

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 9357/243,4003/152

Given fractions are 9357/243,4003/152

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 9357,4003

Greatest Common Factor of Numerators i.e. GCF of 9357,4003 is 1 .

LCM of Denominators means LCM of 243,152 as per the given fractions.

LCM of 243,152 is 36936 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9357,4003

GCF of Fractions 9357/243,4003/152 is 1/36936

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

Greatest Common Factor of 9357,4003 By Matching Biggest Common Factor Method

Greatest Common Factor of 9357,4003 By Matching Biggest Common Factor Method

Factors of 9357

List of positive integer factors of 9357 that divides 9357 without a remainder.

1,3,3119,9357

Factors of 4003

List of positive integer factors of 4003 that divides 4003 without a remainder.

1,4003

Greatest Common Factor

We found the factors 9357,4003 . The biggest common factor number is the GCF number.
So the greatest common factor 9357,4003 is 1.

Lets's calculate LCM of 243,152

Given numbers has no common factors except 1. So, there LCM is their product i.e 36936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36936

Therefore, the GCF of Fractions 9357/243,4003/152 is 1/36936

Least Common Multiple of 243,152 with GCF Formula

Least Common Multiple of 243,152 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 243,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,152) = 1

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

GCF(243,152) x common factors =1 x 1 = 1

LCM(243,152) = ( 243 × 152 ) / 1

LCM(243,152) = 36936 / 1

LCM(243,152) = 36936


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 9357/243, 4003/152

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 9357/243, 4003/152?

Answer: GCF of Numerators as per given numbers 9357/243, 4003/152 is

GCF of Numerators i.e. for 9357,4003 is 1

LCM of denominators i.e. for 243,152 is 36936.

Thus, GCF of Fractions is 1/36936.Finally, GCF of Fractions for 9357/243, 4003/152 is 1/36936.