Greatest Common Factor of 405/30, 903/8043

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 405/30, 903/8043

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 405/30,903/8043

Given fractions are 405/30,903/8043

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 405,903

Greatest Common Factor of Numerators i.e. GCF of 405,903 is 3 .

LCM of Denominators means LCM of 30,8043 as per the given fractions.

LCM of 30,8043 is 80430 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 405,903

GCF of Fractions 405/30,903/8043 is 3/80430

3 405, 903
135, 301

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

Greatest Common Factor of 405,903 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,903 By Matching Biggest Common Factor Method

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Greatest Common Factor

We found the factors 405,903 . The biggest common factor number is the GCF number.
So the greatest common factor 405,903 is 3.

Lets's calculate LCM of 30,8043

3 30, 8043
10, 2681

∴ So the LCM of the given numbers is 3 x 10 x 2681 = 80430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/80430

Therefore, the GCF of Fractions 405/30,903/8043 is 3/80430

Least Common Multiple of 30,8043 with GCF Formula

Least Common Multiple of 30,8043 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 30,8043 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,8043) = 3

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

GCF(30,8043) x common factors =3 x 1 = 3

LCM(30,8043) = ( 30 × 8043 ) / 3

LCM(30,8043) = 241290 / 3

LCM(30,8043) = 80430


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 405/30, 903/8043

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 405/30, 903/8043?

Answer: GCF of Numerators as per given numbers 405/30, 903/8043 is

GCF of Numerators i.e. for 405,903 is 3

LCM of denominators i.e. for 30,8043 is 80430.

Thus, GCF of Fractions is 3/80430.Finally, GCF of Fractions for 405/30, 903/8043 is 3/80430.