GCD of 585, 744, 424, 675 Calculator

Given Input numbers are 585, 744, 424, 675

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

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

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 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Greatest Common Divisior

We found the divisors of 585, 744, 424, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 744, 424, 675 is 1.

Therefore, GCD of numbers 585, 744, 424, 675 is 1

Given Input Data is 585, 744, 424, 675

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

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

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

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 675 is 3 x 3 x 3 x 5 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(585, 744) = 145080

GCD(585, 744) = ( 585 x 744 ) / 145080

GCD(585, 744) = 435240 / 145080

GCD(585, 744) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 424

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

LCM(3, 424) = 1272

GCD(3, 424) = ( 3 x 424 ) / 1272

GCD(3, 424) = 1272 / 1272

GCD(3, 424) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 675

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

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

GCD(1, 675) = 675 / 675

GCD(1, 675) = 1

GCD of 585, 744, 424, 675 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 912, 948, 518, 711
• GCD of 295, 777, 711, 774
• GCD of 392, 164, 625, 112
• GCD of 542, 475, 500, 733
• GCD of 191, 448, 199, 514

1. What is the GCD of 585, 744, 424, 675?

GCD of 585, 744, 424, 675 is 1

2. Where do I get the detailed procedure to find GCD of 585, 744, 424, 675?

You can find a detailed procedure to find GCD of 585, 744, 424, 675 on our page.

3. How to find GCD of 585, 744, 424, 675 on a calculator?

You can find the GCD of 585, 744, 424, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.