GCD of 22, 18, 16, 72 Calculator

Given Input numbers are 22, 18, 16, 72

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

Divisors of 22

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

1, 2, 11, 22

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Greatest Common Divisior

We found the divisors of 22, 18, 16, 72 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 18, 16, 72 is 2.

Therefore, GCD of numbers 22, 18, 16, 72 is 2

Given Input Data is 22, 18, 16, 72

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 18 is 2 x 3 x 3

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(22, 18) = 198

GCD(22, 18) = ( 22 x 18 ) / 198

GCD(22, 18) = 396 / 198

GCD(22, 18) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

GCD of 22, 18, 16, 72 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 90, 74, 22, 93
• GCD of 89, 48, 49, 66
• GCD of 42, 55, 87, 76
• GCD of 18, 95, 85, 65
• GCD of 59, 85, 25, 15

1. What is the GCD of 22, 18, 16, 72?

GCD of 22, 18, 16, 72 is 2

2. Where do I get the detailed procedure to find GCD of 22, 18, 16, 72?

You can find a detailed procedure to find GCD of 22, 18, 16, 72 on our page.

3. How to find GCD of 22, 18, 16, 72 on a calculator?

You can find the GCD of 22, 18, 16, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.