Greatest Common Factor of 5905/906, 3993/203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5905/906, 3993/203

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 5905/906,3993/203

Given fractions are 5905/906,3993/203

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 5905,3993

Greatest Common Factor of Numerators i.e. GCF of 5905,3993 is 1 .

LCM of Denominators means LCM of 906,203 as per the given fractions.

LCM of 906,203 is 183918 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5905,3993

GCF of Fractions 5905/906,3993/203 is 1/183918

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

Greatest Common Factor of 5905,3993 By Matching Biggest Common Factor Method

Greatest Common Factor of 5905,3993 By Matching Biggest Common Factor Method

Factors of 5905

List of positive integer factors of 5905 that divides 5905 without a remainder.

1,5,1181,5905

Factors of 3993

List of positive integer factors of 3993 that divides 3993 without a remainder.

1,3,11,33,121,363,1331,3993

Greatest Common Factor

We found the factors 5905,3993 . The biggest common factor number is the GCF number.
So the greatest common factor 5905,3993 is 1.

Lets's calculate LCM of 906,203

Given numbers has no common factors except 1. So, there LCM is their product i.e 183918

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/183918

Therefore, the GCF of Fractions 5905/906,3993/203 is 1/183918

Least Common Multiple of 906,203 with GCF Formula

Least Common Multiple of 906,203 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 906,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(906,203) = 1

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

GCF(906,203) x common factors =1 x 1 = 1

LCM(906,203) = ( 906 × 203 ) / 1

LCM(906,203) = 183918 / 1

LCM(906,203) = 183918


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 5905/906, 3993/203

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 5905/906, 3993/203?

Answer: GCF of Numerators as per given numbers 5905/906, 3993/203 is

GCF of Numerators i.e. for 5905,3993 is 1

LCM of denominators i.e. for 906,203 is 183918.

Thus, GCF of Fractions is 1/183918.Finally, GCF of Fractions for 5905/906, 3993/203 is 1/183918.