GCD of 16, 21, 36, 59 Calculator

Given Input numbers are 16, 21, 36, 59

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

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 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Greatest Common Divisior

We found the divisors of 16, 21, 36, 59 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 21, 36, 59 is 1.

Therefore, GCD of numbers 16, 21, 36, 59 is 1

Given Input Data is 16, 21, 36, 59

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 21 is 3 x 7

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

Prime Factorization of 59 is 59

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(16, 21) = 336

GCD(16, 21) = ( 16 x 21 ) / 336

GCD(16, 21) = 336 / 336

GCD(16, 21) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

GCD of 16, 21, 36, 59 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 27, 80, 90, 55
• GCD of 58, 10, 77, 47
• GCD of 41, 25, 18, 35
• GCD of 75, 87, 89, 73
• GCD of 85, 36, 71, 71

1. What is the GCD of 16, 21, 36, 59?

GCD of 16, 21, 36, 59 is 1

2. Where do I get the detailed procedure to find GCD of 16, 21, 36, 59?

You can find a detailed procedure to find GCD of 16, 21, 36, 59 on our page.

3. How to find GCD of 16, 21, 36, 59 on a calculator?

You can find the GCD of 16, 21, 36, 59 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.