GCD of 13, 36, 38, 65 Calculator

Given Input numbers are 13, 36, 38, 65

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

Divisors of 13

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

1, 13

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 38

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

1, 2, 19, 38

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Greatest Common Divisior

We found the divisors of 13, 36, 38, 65 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 36, 38, 65 is 1.

Therefore, GCD of numbers 13, 36, 38, 65 is 1

Given Input Data is 13, 36, 38, 65

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

Prime Factorization of 13 is 13

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 65 is 5 x 13

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

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(13, 36) = 468

GCD(13, 36) = ( 13 x 36 ) / 468

GCD(13, 36) = 468 / 468

GCD(13, 36) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

GCD of 13, 36, 38, 65 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 34, 24, 79, 11
• GCD of 18, 25, 51, 65
• GCD of 61, 59, 82, 45
• GCD of 20, 25, 65, 40
• GCD of 12, 89, 94, 13

1. What is the GCD of 13, 36, 38, 65?

GCD of 13, 36, 38, 65 is 1

2. Where do I get the detailed procedure to find GCD of 13, 36, 38, 65?

You can find a detailed procedure to find GCD of 13, 36, 38, 65 on our page.

3. How to find GCD of 13, 36, 38, 65 on a calculator?

You can find the GCD of 13, 36, 38, 65 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.