GCD of 744, 159, 23, 585 Calculator

Given Input numbers are 744, 159, 23, 585

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

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 23

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

1, 23

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 744, 159, 23, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 159, 23, 585 is 1.

Therefore, GCD of numbers 744, 159, 23, 585 is 1

Given Input Data is 744, 159, 23, 585

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

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 159 is 3 x 53

Prime Factorization of 23 is 23

Prime Factorization of 585 is 3 x 3 x 5 x 13

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(744, 159) = 39432

GCD(744, 159) = ( 744 x 159 ) / 39432

GCD(744, 159) = 118296 / 39432

GCD(744, 159) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 23

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

LCM(3, 23) = 69

GCD(3, 23) = ( 3 x 23 ) / 69

GCD(3, 23) = 69 / 69

GCD(3, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 585

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

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

GCD(1, 585) = 585 / 585

GCD(1, 585) = 1

GCD of 744, 159, 23, 585 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 919, 564, 76, 656
• GCD of 710, 253, 78, 121
• GCD of 389, 390, 46, 797
• GCD of 896, 934, 79, 759
• GCD of 518, 724, 65, 473

1. What is the GCD of 744, 159, 23, 585?

GCD of 744, 159, 23, 585 is 1

2. Where do I get the detailed procedure to find GCD of 744, 159, 23, 585?

You can find a detailed procedure to find GCD of 744, 159, 23, 585 on our page.

3. How to find GCD of 744, 159, 23, 585 on a calculator?

You can find the GCD of 744, 159, 23, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.