GCD of 22, 72, 27, 67 Calculator

Given Input numbers are 22, 72, 27, 67

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 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

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Greatest Common Divisior

We found the divisors of 22, 72, 27, 67 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 72, 27, 67 is 1.

Therefore, GCD of numbers 22, 72, 27, 67 is 1

Given Input Data is 22, 72, 27, 67

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

Prime Factorization of 22 is 2 x 11

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

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 67 is 67

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(22, 72) = 792

GCD(22, 72) = ( 22 x 72 ) / 792

GCD(22, 72) = 1584 / 792

GCD(22, 72) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 27

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

LCM(2, 27) = 54

GCD(2, 27) = ( 2 x 27 ) / 54

GCD(2, 27) = 54 / 54

GCD(2, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

GCD of 22, 72, 27, 67 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 36, 25, 47
• GCD of 33, 94, 69, 51
• GCD of 34, 76, 80, 98
• GCD of 31, 10, 23, 25
• GCD of 74, 35, 29, 43

1. What is the GCD of 22, 72, 27, 67?

GCD of 22, 72, 27, 67 is 1

2. Where do I get the detailed procedure to find GCD of 22, 72, 27, 67?

You can find a detailed procedure to find GCD of 22, 72, 27, 67 on our page.

3. How to find GCD of 22, 72, 27, 67 on a calculator?

You can find the GCD of 22, 72, 27, 67 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.