Greatest Common Factor of 243/99, 326/1905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 243/99, 326/1905

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 243/99,326/1905

Given fractions are 243/99,326/1905

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 243,326

Greatest Common Factor of Numerators i.e. GCF of 243,326 is 1 .

LCM of Denominators means LCM of 99,1905 as per the given fractions.

LCM of 99,1905 is 62865 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 243,326

GCF of Fractions 243/99,326/1905 is 1/62865

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

Greatest Common Factor of 243,326 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,326 By Matching Biggest Common Factor Method

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Greatest Common Factor

We found the factors 243,326 . The biggest common factor number is the GCF number.
So the greatest common factor 243,326 is 1.

Lets's calculate LCM of 99,1905

3 99, 1905
33, 635

∴ So the LCM of the given numbers is 3 x 33 x 635 = 62865

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62865

Therefore, the GCF of Fractions 243/99,326/1905 is 1/62865

Least Common Multiple of 99,1905 with GCF Formula

Least Common Multiple of 99,1905 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 99,1905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,1905) = 3

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

GCF(99,1905) x common factors =3 x 1 = 3

LCM(99,1905) = ( 99 × 1905 ) / 3

LCM(99,1905) = 188595 / 3

LCM(99,1905) = 62865


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 243/99, 326/1905

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 243/99, 326/1905?

Answer: GCF of Numerators as per given numbers 243/99, 326/1905 is

GCF of Numerators i.e. for 243,326 is 1

LCM of denominators i.e. for 99,1905 is 62865.

Thus, GCF of Fractions is 1/62865.Finally, GCF of Fractions for 243/99, 326/1905 is 1/62865.