GCD of 21, 73, 99 Calculator

Given Input numbers are 21, 73, 99

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 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Greatest Common Divisior

We found the divisors of 21, 73, 99 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 73, 99 is 1.

Therefore, GCD of numbers 21, 73, 99 is 1

Given Input Data is 21, 73, 99

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 73 is 73

Prime Factorization of 99 is 3 x 3 x 11

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, 73) = 1533

GCD(21, 73) = ( 21 x 73 ) / 1533

GCD(21, 73) = 1533 / 1533

GCD(21, 73) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

GCD of 21, 73, 99 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 66, 14
• GCD of 33, 13, 22
• GCD of 80, 71, 64
• GCD of 61, 53, 43
• GCD of 33, 99, 34

1. What is the GCD of 21, 73, 99?

GCD of 21, 73, 99 is 1

2. Where do I get the detailed procedure to find GCD of 21, 73, 99?

You can find a detailed procedure to find GCD of 21, 73, 99 on our page.

3. How to find GCD of 21, 73, 99 on a calculator?

You can find the GCD of 21, 73, 99 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.