GCD of 362, 832, 13, 585 Calculator

Given Input numbers are 362, 832, 13, 585

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 13

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

1, 13

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

Greatest Common Divisior

We found the divisors of 362, 832, 13, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 832, 13, 585 is 1.

Therefore, GCD of numbers 362, 832, 13, 585 is 1

Given Input Data is 362, 832, 13, 585

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 13 is 13

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

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(362, 832) = 150592

GCD(362, 832) = ( 362 x 832 ) / 150592

GCD(362, 832) = 301184 / 150592

GCD(362, 832) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 13

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

LCM(2, 13) = 26

GCD(2, 13) = ( 2 x 13 ) / 26

GCD(2, 13) = 26 / 26

GCD(2, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 585

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

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

GCD(1, 585) = 585 / 585

GCD(1, 585) = 1

GCD of 362, 832, 13, 585 is 1

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• GCD of 718, 239, 61, 776
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1. What is the GCD of 362, 832, 13, 585?

GCD of 362, 832, 13, 585 is 1

2. Where do I get the detailed procedure to find GCD of 362, 832, 13, 585?

You can find a detailed procedure to find GCD of 362, 832, 13, 585 on our page.

3. How to find GCD of 362, 832, 13, 585 on a calculator?

You can find the GCD of 362, 832, 13, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.