GCD of 23, 65, 72, 22 Calculator

Given Input numbers are 23, 65, 72, 22

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

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

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 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 23, 65, 72, 22 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 65, 72, 22 is 1.

Therefore, GCD of numbers 23, 65, 72, 22 is 1

Given Input Data is 23, 65, 72, 22

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

Prime Factorization of 23 is 23

Prime Factorization of 65 is 5 x 13

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

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(23, 65) = 1495

GCD(23, 65) = ( 23 x 65 ) / 1495

GCD(23, 65) = 1495 / 1495

GCD(23, 65) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 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 23, 65, 72, 22 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 66, 89, 29, 93
• GCD of 67, 75, 98, 65
• GCD of 17, 46, 77, 95
• GCD of 31, 97, 86, 65
• GCD of 61, 46, 92, 46

1. What is the GCD of 23, 65, 72, 22?

GCD of 23, 65, 72, 22 is 1

2. Where do I get the detailed procedure to find GCD of 23, 65, 72, 22?

You can find a detailed procedure to find GCD of 23, 65, 72, 22 on our page.

3. How to find GCD of 23, 65, 72, 22 on a calculator?

You can find the GCD of 23, 65, 72, 22 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.