Greatest Common Factor of 612/29, 135/20, 443/42

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 612/29, 135/20, 443/42

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 612/29,135/20,443/42

Given fractions are 612/29,135/20,443/42

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 612,135,443

Greatest Common Factor of Numerators i.e. GCF of 612,135,443 is 1 .

LCM of Denominators means LCM of 29,20,42 as per the given fractions.

LCM of 29,20,42 is 12180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 612,135,443

GCF of Fractions 612/29,135/20,443/42 is 1/12180

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

Greatest Common Factor of 612,135,443 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,135,443 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

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

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1,443

Greatest Common Factor

We found the factors 612,135,443 . The biggest common factor number is the GCF number.
So the greatest common factor 612,135,443 is 1.

Lets's calculate LCM of 29,20,42

2 29, 20, 42
29, 10, 21

∴ So the LCM of the given numbers is 2 x 29 x 10 x 21 = 12180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12180

Therefore, the GCF of Fractions 612/29,135/20,443/42 is 1/12180

Least Common Multiple of 29,20,42 with GCF Formula

Least Common Multiple of 29,20,42 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 29,20,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,20,42) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(29,20,42) x common factors =1 x 2 = 2

LCM(29,20,42) = ( 29 × 20 × 42 ) / 2

LCM(29,20,42) = 24360 / 2

LCM(29,20,42) = 12180


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 612/29, 135/20, 443/42

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 612/29, 135/20, 443/42?

Answer: GCF of Numerators as per given numbers 612/29, 135/20, 443/42 is

GCF of Numerators i.e. for 612,135,443 is 1

LCM of denominators i.e. for 29,20,42 is 12180.

Thus, GCF of Fractions is 1/12180.Finally, GCF of Fractions for 612/29, 135/20, 443/42 is 1/12180.