Greatest Common Factor of 18/61, 57/31, 405/21

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 18/61, 57/31, 405/21

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 18/61,57/31,405/21

Given fractions are 18/61,57/31,405/21

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 18,57,405

Greatest Common Factor of Numerators i.e. GCF of 18,57,405 is 3 .

LCM of Denominators means LCM of 61,31,21 as per the given fractions.

LCM of 61,31,21 is 39711 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 18,57,405

GCF of Fractions 18/61,57/31,405/21 is 3/39711

3 18, 57, 405
6, 19, 135

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 18,57,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,57,405 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 18,57,405 . The biggest common factor number is the GCF number.
So the greatest common factor 18,57,405 is 3.

Lets's calculate LCM of 61,31,21

Given numbers has no common factors except 1. So, there LCM is their product i.e 39711

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/39711

Therefore, the GCF of Fractions 18/61,57/31,405/21 is 3/39711

Least Common Multiple of 61,31,21 with GCF Formula

Least Common Multiple of 61,31,21 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 61,31,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,31,21) = 1

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

GCF(61,31,21) x common factors =1 x 1 = 1

LCM(61,31,21) = ( 61 × 31 × 21 ) / 1

LCM(61,31,21) = 39711 / 1

LCM(61,31,21) = 39711


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 18/61, 57/31, 405/21

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 18/61, 57/31, 405/21?

Answer: GCF of Numerators as per given numbers 18/61, 57/31, 405/21 is

GCF of Numerators i.e. for 18,57,405 is 3

LCM of denominators i.e. for 61,31,21 is 39711.

Thus, GCF of Fractions is 3/39711.Finally, GCF of Fractions for 18/61, 57/31, 405/21 is 3/39711.