GCD of 23, 59, 29, 30 Calculator

Given Input numbers are 23, 59, 29, 30

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 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Greatest Common Divisior

We found the divisors of 23, 59, 29, 30 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 59, 29, 30 is 1.

Therefore, GCD of numbers 23, 59, 29, 30 is 1

Given Input Data is 23, 59, 29, 30

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

Prime Factorization of 23 is 23

Prime Factorization of 59 is 59

Prime Factorization of 29 is 29

Prime Factorization of 30 is 2 x 3 x 5

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, 59) = 1357

GCD(23, 59) = ( 23 x 59 ) / 1357

GCD(23, 59) = 1357 / 1357

GCD(23, 59) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

GCD of 23, 59, 29, 30 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 75, 12, 29, 77
• GCD of 21, 69, 69, 62
• GCD of 76, 33, 54, 46
• GCD of 42, 60, 23, 93
• GCD of 60, 54, 22, 29

1. What is the GCD of 23, 59, 29, 30?

GCD of 23, 59, 29, 30 is 1

2. Where do I get the detailed procedure to find GCD of 23, 59, 29, 30?

You can find a detailed procedure to find GCD of 23, 59, 29, 30 on our page.

3. How to find GCD of 23, 59, 29, 30 on a calculator?

You can find the GCD of 23, 59, 29, 30 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.