GCD of 361, 852, 13, 586 Calculator

Given Input numbers are 361, 852, 13, 586

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

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Greatest Common Divisior

We found the divisors of 361, 852, 13, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 852, 13, 586 is 1.

Therefore, GCD of numbers 361, 852, 13, 586 is 1

Given Input Data is 361, 852, 13, 586

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 13 is 13

Prime Factorization of 586 is 2 x 293

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(361, 852) = 307572

GCD(361, 852) = ( 361 x 852 ) / 307572

GCD(361, 852) = 307572 / 307572

GCD(361, 852) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 586

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

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

GCD(1, 586) = 586 / 586

GCD(1, 586) = 1

GCD of 361, 852, 13, 586 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 669, 595, 42, 756
• GCD of 226, 872, 35, 618
• GCD of 926, 506, 25, 856
• GCD of 635, 406, 18, 555
• GCD of 255, 409, 65, 429

1. What is the GCD of 361, 852, 13, 586?

GCD of 361, 852, 13, 586 is 1

2. Where do I get the detailed procedure to find GCD of 361, 852, 13, 586?

You can find a detailed procedure to find GCD of 361, 852, 13, 586 on our page.

3. How to find GCD of 361, 852, 13, 586 on a calculator?

You can find the GCD of 361, 852, 13, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.