GCD of 81, 20, 45, 22 Calculator

Given Input numbers are 81, 20, 45, 22

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

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Greatest Common Divisior

We found the divisors of 81, 20, 45, 22 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 81, 20, 45, 22 is 1.

Therefore, GCD of numbers 81, 20, 45, 22 is 1

Given Input Data is 81, 20, 45, 22

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

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 22 is 2 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(81, 20) = 1620

GCD(81, 20) = ( 81 x 20 ) / 1620

GCD(81, 20) = 1620 / 1620

GCD(81, 20) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

GCD of 81, 20, 45, 22 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 92, 87, 32, 68
• GCD of 42, 44, 46, 23
• GCD of 33, 21, 56, 21
• GCD of 86, 43, 45, 45
• GCD of 27, 32, 94, 28

1. What is the GCD of 81, 20, 45, 22?

GCD of 81, 20, 45, 22 is 1

2. Where do I get the detailed procedure to find GCD of 81, 20, 45, 22?

You can find a detailed procedure to find GCD of 81, 20, 45, 22 on our page.

3. How to find GCD of 81, 20, 45, 22 on a calculator?

You can find the GCD of 81, 20, 45, 22 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.