GCD of 22, 12, 12, 69 Calculator

Given Input numbers are 22, 12, 12, 69

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 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Greatest Common Divisior

We found the divisors of 22, 12, 12, 69 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 12, 12, 69 is 1.

Therefore, GCD of numbers 22, 12, 12, 69 is 1

Given Input Data is 22, 12, 12, 69

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 69 is 3 x 23

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, 12) = 132

GCD(22, 12) = ( 22 x 12 ) / 132

GCD(22, 12) = 264 / 132

GCD(22, 12) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 12

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

LCM(2, 12) = 12

GCD(2, 12) = ( 2 x 12 ) / 12

GCD(2, 12) = 24 / 12

GCD(2, 12) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 69

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

LCM(2, 69) = 138

GCD(2, 69) = ( 2 x 69 ) / 138

GCD(2, 69) = 138 / 138

GCD(2, 69) = 1

GCD of 22, 12, 12, 69 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 61, 93, 87, 13
• GCD of 38, 15, 97, 96
• GCD of 70, 85, 54, 82
• GCD of 35, 58, 46, 58
• GCD of 16, 38, 15, 15

1. What is the GCD of 22, 12, 12, 69?

GCD of 22, 12, 12, 69 is 1

2. Where do I get the detailed procedure to find GCD of 22, 12, 12, 69?

You can find a detailed procedure to find GCD of 22, 12, 12, 69 on our page.

3. How to find GCD of 22, 12, 12, 69 on a calculator?

You can find the GCD of 22, 12, 12, 69 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.