Greatest Common Factor of 52/15, 18/12, 62/29, 60/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 52/15, 18/12, 62/29, 60/406

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 52/15,18/12,62/29,60/406

Given fractions are 52/15,18/12,62/29,60/406

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 52,18,62,60

Greatest Common Factor of Numerators i.e. GCF of 52,18,62,60 is 2 .

LCM of Denominators means LCM of 15,12,29,406 as per the given fractions.

LCM of 15,12,29,406 is 12180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 52,18,62,60

GCF of Fractions 52/15,18/12,62/29,60/406 is 2/12180

2 52, 18, 62, 60
26, 9, 31, 30

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 52,18,62,60 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,18,62,60 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 18

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

1,2,3,6,9,18

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Greatest Common Factor

We found the factors 52,18,62,60 . The biggest common factor number is the GCF number.
So the greatest common factor 52,18,62,60 is 2.

Lets's calculate LCM of 15,12,29,406

2 15, 12, 29, 406
3 15, 6, 29, 203
29 5, 2, 29, 203
5, 2, 1, 7

∴ So the LCM of the given numbers is 2 x 3 x 29 x 5 x 2 x 1 x 7 = 12180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12180

Therefore, the GCF of Fractions 52/15,18/12,62/29,60/406 is 2/12180

Least Common Multiple of 15,12,29,406 with GCF Formula

Least Common Multiple of 15,12,29,406 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 15,12,29,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,12,29,406) = 1

common factors(in case of two or more numbers have common factors) = 174

GCF(15,12,29,406) x common factors =1 x 174 = 174

LCM(15,12,29,406) = ( 15 × 12 × 29 × 406 ) / 174

LCM(15,12,29,406) = 2119320 / 174

LCM(15,12,29,406) = 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 52/15, 18/12, 62/29, 60/406

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 52/15, 18/12, 62/29, 60/406?

Answer: GCF of Numerators as per given numbers 52/15, 18/12, 62/29, 60/406 is

GCF of Numerators i.e. for 52,18,62,60 is 2

LCM of denominators i.e. for 15,12,29,406 is 12180.

Thus, GCF of Fractions is 2/12180.Finally, GCF of Fractions for 52/15, 18/12, 62/29, 60/406 is 2/12180.