GCD of 21, 9, 64, 83 Calculator

Given Input numbers are 21, 9, 64, 83

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

Divisors of 21

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

1, 3, 7, 21

Divisors of 9

List of positive integer divisors of 9 that divides 9 without a remainder.

1, 3, 9

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Greatest Common Divisior

We found the divisors of 21, 9, 64, 83 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 9, 64, 83 is 1.

Therefore, GCD of numbers 21, 9, 64, 83 is 1

Given Input Data is 21, 9, 64, 83

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 9 is 3 x 3

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 83 is 83

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(21, 9) = 63

GCD(21, 9) = ( 21 x 9 ) / 63

GCD(21, 9) = 189 / 63

GCD(21, 9) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 64

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

LCM(3, 64) = 192

GCD(3, 64) = ( 3 x 64 ) / 192

GCD(3, 64) = 192 / 192

GCD(3, 64) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

GCD of 21, 9, 64, 83 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 63, 9, 36, 96
• GCD of 68, 1, 61, 19
• GCD of 84, 2, 29, 76
• GCD of 36, 1, 97, 73
• GCD of 90, 9, 29, 32

1. What is the GCD of 21, 9, 64, 83?

GCD of 21, 9, 64, 83 is 1

2. Where do I get the detailed procedure to find GCD of 21, 9, 64, 83?

You can find a detailed procedure to find GCD of 21, 9, 64, 83 on our page.

3. How to find GCD of 21, 9, 64, 83 on a calculator?

You can find the GCD of 21, 9, 64, 83 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.