GCD of 36, 32, 18, 51 Calculator

Given Input numbers are 36, 32, 18, 51

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 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Greatest Common Divisior

We found the divisors of 36, 32, 18, 51 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 32, 18, 51 is 1.

Therefore, GCD of numbers 36, 32, 18, 51 is 1

Given Input Data is 36, 32, 18, 51

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 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 51 is 3 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, 32) = 288

GCD(36, 32) = ( 36 x 32 ) / 288

GCD(36, 32) = 1152 / 288

GCD(36, 32) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 18

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

LCM(4, 18) = 36

GCD(4, 18) = ( 4 x 18 ) / 36

GCD(4, 18) = 72 / 36

GCD(4, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 51

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

LCM(2, 51) = 102

GCD(2, 51) = ( 2 x 51 ) / 102

GCD(2, 51) = 102 / 102

GCD(2, 51) = 1

GCD of 36, 32, 18, 51 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 70, 54, 95, 49
• GCD of 50, 12, 83, 47
• GCD of 46, 38, 25, 21
• GCD of 54, 45, 88, 59
• GCD of 74, 22, 21, 85

1. What is the GCD of 36, 32, 18, 51?

GCD of 36, 32, 18, 51 is 1

2. Where do I get the detailed procedure to find GCD of 36, 32, 18, 51?

You can find a detailed procedure to find GCD of 36, 32, 18, 51 on our page.

3. How to find GCD of 36, 32, 18, 51 on a calculator?

You can find the GCD of 36, 32, 18, 51 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.