GCD of 83, 9, 90, 21 Calculator

Given Input numbers are 83, 9, 90, 21

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

Divisors of 83

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

1, 83

Divisors of 9

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

1, 3, 9

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 21

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

1, 3, 7, 21

Greatest Common Divisior

We found the divisors of 83, 9, 90, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 9, 90, 21 is 1.

Therefore, GCD of numbers 83, 9, 90, 21 is 1

Given Input Data is 83, 9, 90, 21

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

Prime Factorization of 83 is 83

Prime Factorization of 9 is 3 x 3

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 21 is 3 x 7

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(83, 9) = 747

GCD(83, 9) = ( 83 x 9 ) / 747

GCD(83, 9) = 747 / 747

GCD(83, 9) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

GCD of 83, 9, 90, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 57, 6, 14, 45
• GCD of 15, 3, 20, 84
• GCD of 11, 7, 89, 88
• GCD of 74, 4, 59, 53
• GCD of 21, 3, 81, 20

1. What is the GCD of 83, 9, 90, 21?

GCD of 83, 9, 90, 21 is 1

2. Where do I get the detailed procedure to find GCD of 83, 9, 90, 21?

You can find a detailed procedure to find GCD of 83, 9, 90, 21 on our page.

3. How to find GCD of 83, 9, 90, 21 on a calculator?

You can find the GCD of 83, 9, 90, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.