GCD of 596, 816, 23, 438 Calculator

Given Input numbers are 596, 816, 23, 438

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

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 23

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

1, 23

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Greatest Common Divisior

We found the divisors of 596, 816, 23, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 596, 816, 23, 438 is 1.

Therefore, GCD of numbers 596, 816, 23, 438 is 1

Given Input Data is 596, 816, 23, 438

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

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 23 is 23

Prime Factorization of 438 is 2 x 3 x 73

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(596, 816) = 121584

GCD(596, 816) = ( 596 x 816 ) / 121584

GCD(596, 816) = 486336 / 121584

GCD(596, 816) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 23

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

LCM(4, 23) = 92

GCD(4, 23) = ( 4 x 23 ) / 92

GCD(4, 23) = 92 / 92

GCD(4, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

GCD of 596, 816, 23, 438 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 448, 827, 35, 932
• GCD of 224, 479, 47, 874
• GCD of 194, 817, 13, 964
• GCD of 253, 924, 30, 630
• GCD of 509, 775, 37, 130

1. What is the GCD of 596, 816, 23, 438?

GCD of 596, 816, 23, 438 is 1

2. Where do I get the detailed procedure to find GCD of 596, 816, 23, 438?

You can find a detailed procedure to find GCD of 596, 816, 23, 438 on our page.

3. How to find GCD of 596, 816, 23, 438 on a calculator?

You can find the GCD of 596, 816, 23, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.