Greatest Common Factor of 27/37, 38/381, 586/403

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/37, 38/381, 586/403

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 27/37,38/381,586/403

Given fractions are 27/37,38/381,586/403

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 27,38,586

Greatest Common Factor of Numerators i.e. GCF of 27,38,586 is 1 .

LCM of Denominators means LCM of 37,381,403 as per the given fractions.

LCM of 37,381,403 is 5681091 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,38,586

GCF of Fractions 27/37,38/381,586/403 is 1/5681091

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

Greatest Common Factor of 27,38,586 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,38,586 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 38

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

1,2,19,38

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Greatest Common Factor

We found the factors 27,38,586 . The biggest common factor number is the GCF number.
So the greatest common factor 27,38,586 is 1.

Lets's calculate LCM of 37,381,403

Given numbers has no common factors except 1. So, there LCM is their product i.e 5681091

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5681091

Therefore, the GCF of Fractions 27/37,38/381,586/403 is 1/5681091

Least Common Multiple of 37,381,403 with GCF Formula

Least Common Multiple of 37,381,403 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 37,381,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,381,403) = 1

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

GCF(37,381,403) x common factors =1 x 1 = 1

LCM(37,381,403) = ( 37 × 381 × 403 ) / 1

LCM(37,381,403) = 5681091 / 1

LCM(37,381,403) = 5681091


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 27/37, 38/381, 586/403

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 27/37, 38/381, 586/403?

Answer: GCF of Numerators as per given numbers 27/37, 38/381, 586/403 is

GCF of Numerators i.e. for 27,38,586 is 1

LCM of denominators i.e. for 37,381,403 is 5681091.

Thus, GCF of Fractions is 1/5681091.Finally, GCF of Fractions for 27/37, 38/381, 586/403 is 1/5681091.