GCD of 36, 6, 15, 68 Calculator

Given Input numbers are 36, 6, 15, 68

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

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 6

List of positive integer divisors of 6 that divides 6 without a remainder.

1, 2, 3, 6

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Greatest Common Divisior

We found the divisors of 36, 6, 15, 68 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 6, 15, 68 is 1.

Therefore, GCD of numbers 36, 6, 15, 68 is 1

Given Input Data is 36, 6, 15, 68

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

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

Prime Factorization of 6 is 2 x 3

Prime Factorization of 15 is 3 x 5

Prime Factorization of 68 is 2 x 2 x 17

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(36, 6) = 36

GCD(36, 6) = ( 36 x 6 ) / 36

GCD(36, 6) = 216 / 36

GCD(36, 6) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 15

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

LCM(6, 15) = 30

GCD(6, 15) = ( 6 x 15 ) / 30

GCD(6, 15) = 90 / 30

GCD(6, 15) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 68

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

LCM(3, 68) = 204

GCD(3, 68) = ( 3 x 68 ) / 204

GCD(3, 68) = 204 / 204

GCD(3, 68) = 1

GCD of 36, 6, 15, 68 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 69, 3, 84, 38
• GCD of 18, 4, 95, 56
• GCD of 19, 9, 67, 66
• GCD of 29, 7, 57, 97
• GCD of 88, 8, 47, 76

1. What is the GCD of 36, 6, 15, 68?

GCD of 36, 6, 15, 68 is 1

2. Where do I get the detailed procedure to find GCD of 36, 6, 15, 68?

You can find a detailed procedure to find GCD of 36, 6, 15, 68 on our page.

3. How to find GCD of 36, 6, 15, 68 on a calculator?

You can find the GCD of 36, 6, 15, 68 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.