GCD of 23, 69, 12, 32 Calculator

Given Input numbers are 23, 69, 12, 32

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 69

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

1, 3, 23, 69

Divisors of 12

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

1, 2, 3, 4, 6, 12

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Greatest Common Divisior

We found the divisors of 23, 69, 12, 32 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 69, 12, 32 is 1.

Therefore, GCD of numbers 23, 69, 12, 32 is 1

Given Input Data is 23, 69, 12, 32

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

Prime Factorization of 23 is 23

Prime Factorization of 69 is 3 x 23

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

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, 69) = 69

GCD(23, 69) = ( 23 x 69 ) / 69

GCD(23, 69) = 1587 / 69

GCD(23, 69) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 12

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

LCM(23, 12) = 276

GCD(23, 12) = ( 23 x 12 ) / 276

GCD(23, 12) = 276 / 276

GCD(23, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1

GCD of 23, 69, 12, 32 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 69, 29, 35, 78
• GCD of 57, 26, 80, 90
• GCD of 87, 96, 42, 66
• GCD of 65, 57, 46, 76
• GCD of 24, 74, 49, 25

1. What is the GCD of 23, 69, 12, 32?

GCD of 23, 69, 12, 32 is 1

2. Where do I get the detailed procedure to find GCD of 23, 69, 12, 32?

You can find a detailed procedure to find GCD of 23, 69, 12, 32 on our page.

3. How to find GCD of 23, 69, 12, 32 on a calculator?

You can find the GCD of 23, 69, 12, 32 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.