GCD of 60, 36, 13 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 60, 36, 13 i.e. 1 largest integer that divides all the numbers equally.

GCD of 60, 36, 13 is 1

GCD(60, 36, 13) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 60, 36, 13 is 1

GCD(60, 36, 13) = 1

GCD of 60,36,13 Calculator

GCDof 60,36,13 is 1

Given Input numbers are 60, 36, 13

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 60

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

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Greatest Common Divisior

We found the divisors of 60, 36, 13 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 36, 13 is 1.

Therefore, GCD of numbers 60, 36, 13 is 1

Finding GCD of 60, 36, 13 using Prime Factorization

Given Input Data is 60, 36, 13

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 13 is 13

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 60, 36, 13 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(60, 36) = 180

GCD(60, 36) = ( 60 x 36 ) / 180

GCD(60, 36) = 2160 / 180

GCD(60, 36) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 13

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(12, 13) = 156

GCD(12, 13) = ( 12 x 13 ) / 156

GCD(12, 13) = 156 / 156

GCD(12, 13) = 1

GCD of 60, 36, 13 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 60, 36, 13

1. What is the GCD of 60, 36, 13?

GCD of 60, 36, 13 is 1

2. Where do I get the detailed procedure to find GCD of 60, 36, 13?

You can find a detailed procedure to find GCD of 60, 36, 13 on our page.

3. How to find GCD of 60, 36, 13 on a calculator?

You can find the GCD of 60, 36, 13 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.