GCD of 36, 315, 422, 605 Calculator

Given Input numbers are 36, 315, 422, 605

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Greatest Common Divisior

We found the divisors of 36, 315, 422, 605 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 315, 422, 605 is 1.

Therefore, GCD of numbers 36, 315, 422, 605 is 1

Given Input Data is 36, 315, 422, 605

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 422 is 2 x 211

Prime Factorization of 605 is 5 x 11 x 11

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(36, 315) = 1260

GCD(36, 315) = ( 36 x 315 ) / 1260

GCD(36, 315) = 11340 / 1260

GCD(36, 315) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 422

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

LCM(9, 422) = 3798

GCD(9, 422) = ( 9 x 422 ) / 3798

GCD(9, 422) = 3798 / 3798

GCD(9, 422) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 605

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

LCM(1, 605) = 605

GCD(1, 605) = ( 1 x 605 ) / 605

GCD(1, 605) = 605 / 605

GCD(1, 605) = 1

GCD of 36, 315, 422, 605 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 349, 772, 650
• GCD of 93, 530, 994, 649
• GCD of 77, 410, 666, 200
• GCD of 54, 301, 107, 697
• GCD of 59, 208, 473, 837

1. What is the GCD of 36, 315, 422, 605?

GCD of 36, 315, 422, 605 is 1

2. Where do I get the detailed procedure to find GCD of 36, 315, 422, 605?

You can find a detailed procedure to find GCD of 36, 315, 422, 605 on our page.

3. How to find GCD of 36, 315, 422, 605 on a calculator?

You can find the GCD of 36, 315, 422, 605 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.