GCD of 720, 638, 585, 612 Calculator

Given Input numbers are 720, 638, 585, 612

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

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 638

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

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

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 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Greatest Common Divisior

We found the divisors of 720, 638, 585, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 638, 585, 612 is 1.

Therefore, GCD of numbers 720, 638, 585, 612 is 1

Given Input Data is 720, 638, 585, 612

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

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 638 is 2 x 11 x 29

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

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

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(720, 638) = 229680

GCD(720, 638) = ( 720 x 638 ) / 229680

GCD(720, 638) = 459360 / 229680

GCD(720, 638) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 585

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

LCM(2, 585) = 1170

GCD(2, 585) = ( 2 x 585 ) / 1170

GCD(2, 585) = 1170 / 1170

GCD(2, 585) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 612

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

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

GCD(1, 612) = 612 / 612

GCD(1, 612) = 1

GCD of 720, 638, 585, 612 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 813, 978, 681, 299
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• GCD of 788, 997, 698, 536

1. What is the GCD of 720, 638, 585, 612?

GCD of 720, 638, 585, 612 is 1

2. Where do I get the detailed procedure to find GCD of 720, 638, 585, 612?

You can find a detailed procedure to find GCD of 720, 638, 585, 612 on our page.

3. How to find GCD of 720, 638, 585, 612 on a calculator?

You can find the GCD of 720, 638, 585, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.