GCD of 585, 749, 19, 638 Calculator

Given Input numbers are 585, 749, 19, 638

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 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Greatest Common Divisior

We found the divisors of 585, 749, 19, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 749, 19, 638 is 1.

Therefore, GCD of numbers 585, 749, 19, 638 is 1

Given Input Data is 585, 749, 19, 638

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 749 is 7 x 107

Prime Factorization of 19 is 19

Prime Factorization of 638 is 2 x 11 x 29

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, 749) = 438165

GCD(585, 749) = ( 585 x 749 ) / 438165

GCD(585, 749) = 438165 / 438165

GCD(585, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 638

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

LCM(1, 638) = 638

GCD(1, 638) = ( 1 x 638 ) / 638

GCD(1, 638) = 638 / 638

GCD(1, 638) = 1

GCD of 585, 749, 19, 638 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 475, 330, 79, 835
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• GCD of 134, 111, 94, 288
• GCD of 780, 572, 75, 168

1. What is the GCD of 585, 749, 19, 638?

GCD of 585, 749, 19, 638 is 1

2. Where do I get the detailed procedure to find GCD of 585, 749, 19, 638?

You can find a detailed procedure to find GCD of 585, 749, 19, 638 on our page.

3. How to find GCD of 585, 749, 19, 638 on a calculator?

You can find the GCD of 585, 749, 19, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.