Greatest Common Factor of 3909/23, 3932/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3909/23, 3932/404

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 3909/23,3932/404

Given fractions are 3909/23,3932/404

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 3909,3932

Greatest Common Factor of Numerators i.e. GCF of 3909,3932 is 1 .

LCM of Denominators means LCM of 23,404 as per the given fractions.

LCM of 23,404 is 9292 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3909,3932

GCF of Fractions 3909/23,3932/404 is 1/9292

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

Greatest Common Factor of 3909,3932 By Matching Biggest Common Factor Method

Greatest Common Factor of 3909,3932 By Matching Biggest Common Factor Method

Factors of 3909

List of positive integer factors of 3909 that divides 3909 without a remainder.

1,3,1303,3909

Factors of 3932

List of positive integer factors of 3932 that divides 3932 without a remainder.

1,2,4,983,1966,3932

Greatest Common Factor

We found the factors 3909,3932 . The biggest common factor number is the GCF number.
So the greatest common factor 3909,3932 is 1.

Lets's calculate LCM of 23,404

Given numbers has no common factors except 1. So, there LCM is their product i.e 9292

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9292

Therefore, the GCF of Fractions 3909/23,3932/404 is 1/9292

Least Common Multiple of 23,404 with GCF Formula

Least Common Multiple of 23,404 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 23,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,404) = 1

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

GCF(23,404) x common factors =1 x 1 = 1

LCM(23,404) = ( 23 × 404 ) / 1

LCM(23,404) = 9292 / 1

LCM(23,404) = 9292


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 3909/23, 3932/404

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 3909/23, 3932/404?

Answer: GCF of Numerators as per given numbers 3909/23, 3932/404 is

GCF of Numerators i.e. for 3909,3932 is 1

LCM of denominators i.e. for 23,404 is 9292.

Thus, GCF of Fractions is 1/9292.Finally, GCF of Fractions for 3909/23, 3932/404 is 1/9292.