Greatest Common Factor of 38/491, 5809/9578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/491, 5809/9578

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 38/491,5809/9578

Given fractions are 38/491,5809/9578

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 38,5809

Greatest Common Factor of Numerators i.e. GCF of 38,5809 is 1 .

LCM of Denominators means LCM of 491,9578 as per the given fractions.

LCM of 491,9578 is 4702798 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,5809

GCF of Fractions 38/491,5809/9578 is 1/4702798

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

Greatest Common Factor of 38,5809 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,5809 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 5809

List of positive integer factors of 5809 that divides 5809 without a remainder.

1,37,157,5809

Greatest Common Factor

We found the factors 38,5809 . The biggest common factor number is the GCF number.
So the greatest common factor 38,5809 is 1.

Lets's calculate LCM of 491,9578

Given numbers has no common factors except 1. So, there LCM is their product i.e 4702798

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4702798

Therefore, the GCF of Fractions 38/491,5809/9578 is 1/4702798

Least Common Multiple of 491,9578 with GCF Formula

Least Common Multiple of 491,9578 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 491,9578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,9578) = 1

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

GCF(491,9578) x common factors =1 x 1 = 1

LCM(491,9578) = ( 491 × 9578 ) / 1

LCM(491,9578) = 4702798 / 1

LCM(491,9578) = 4702798


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 38/491, 5809/9578

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 38/491, 5809/9578?

Answer: GCF of Numerators as per given numbers 38/491, 5809/9578 is

GCF of Numerators i.e. for 38,5809 is 1

LCM of denominators i.e. for 491,9578 is 4702798.

Thus, GCF of Fractions is 1/4702798.Finally, GCF of Fractions for 38/491, 5809/9578 is 1/4702798.