Greatest Common Factor of 5909/40, 3659/482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5909/40, 3659/482

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 5909/40,3659/482

Given fractions are 5909/40,3659/482

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 5909,3659

Greatest Common Factor of Numerators i.e. GCF of 5909,3659 is 1 .

LCM of Denominators means LCM of 40,482 as per the given fractions.

LCM of 40,482 is 9640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5909,3659

GCF of Fractions 5909/40,3659/482 is 1/9640

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

Greatest Common Factor of 5909,3659 By Matching Biggest Common Factor Method

Greatest Common Factor of 5909,3659 By Matching Biggest Common Factor Method

Factors of 5909

List of positive integer factors of 5909 that divides 5909 without a remainder.

1,19,311,5909

Factors of 3659

List of positive integer factors of 3659 that divides 3659 without a remainder.

1,3659

Greatest Common Factor

We found the factors 5909,3659 . The biggest common factor number is the GCF number.
So the greatest common factor 5909,3659 is 1.

Lets's calculate LCM of 40,482

2 40, 482
20, 241

∴ So the LCM of the given numbers is 2 x 20 x 241 = 9640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9640

Therefore, the GCF of Fractions 5909/40,3659/482 is 1/9640

Least Common Multiple of 40,482 with GCF Formula

Least Common Multiple of 40,482 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 40,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,482) = 2

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

GCF(40,482) x common factors =2 x 1 = 2

LCM(40,482) = ( 40 × 482 ) / 2

LCM(40,482) = 19280 / 2

LCM(40,482) = 9640


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 5909/40, 3659/482

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 5909/40, 3659/482?

Answer: GCF of Numerators as per given numbers 5909/40, 3659/482 is

GCF of Numerators i.e. for 5909,3659 is 1

LCM of denominators i.e. for 40,482 is 9640.

Thus, GCF of Fractions is 1/9640.Finally, GCF of Fractions for 5909/40, 3659/482 is 1/9640.