GCD of 189, 486, 13, 595 Calculator

Given Input numbers are 189, 486, 13, 595

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

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 13

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

1, 13

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Greatest Common Divisior

We found the divisors of 189, 486, 13, 595 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 486, 13, 595 is 1.

Therefore, GCD of numbers 189, 486, 13, 595 is 1

Given Input Data is 189, 486, 13, 595

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

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 13 is 13

Prime Factorization of 595 is 5 x 7 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(189, 486) = 3402

GCD(189, 486) = ( 189 x 486 ) / 3402

GCD(189, 486) = 91854 / 3402

GCD(189, 486) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 13

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

LCM(27, 13) = 351

GCD(27, 13) = ( 27 x 13 ) / 351

GCD(27, 13) = 351 / 351

GCD(27, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 595

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

LCM(1, 595) = 595

GCD(1, 595) = ( 1 x 595 ) / 595

GCD(1, 595) = 595 / 595

GCD(1, 595) = 1

GCD of 189, 486, 13, 595 is 1

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• GCD of 759, 929, 55, 120
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1. What is the GCD of 189, 486, 13, 595?

GCD of 189, 486, 13, 595 is 1

2. Where do I get the detailed procedure to find GCD of 189, 486, 13, 595?

You can find a detailed procedure to find GCD of 189, 486, 13, 595 on our page.

3. How to find GCD of 189, 486, 13, 595 on a calculator?

You can find the GCD of 189, 486, 13, 595 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.