GCD of 13, 309, 486, 613 Calculator

Given Input numbers are 13, 309, 486, 613

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

Divisors of 13

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

1, 13

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

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 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Greatest Common Divisior

We found the divisors of 13, 309, 486, 613 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 309, 486, 613 is 1.

Therefore, GCD of numbers 13, 309, 486, 613 is 1

Given Input Data is 13, 309, 486, 613

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

Prime Factorization of 13 is 13

Prime Factorization of 309 is 3 x 103

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

Prime Factorization of 613 is 613

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(13, 309) = 4017

GCD(13, 309) = ( 13 x 309 ) / 4017

GCD(13, 309) = 4017 / 4017

GCD(13, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 486

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

LCM(1, 486) = 486

GCD(1, 486) = ( 1 x 486 ) / 486

GCD(1, 486) = 486 / 486

GCD(1, 486) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 613

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

LCM(1, 613) = 613

GCD(1, 613) = ( 1 x 613 ) / 613

GCD(1, 613) = 613 / 613

GCD(1, 613) = 1

GCD of 13, 309, 486, 613 is 1

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• GCD of 97, 471, 606, 995
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• GCD of 38, 737, 309, 883

1. What is the GCD of 13, 309, 486, 613?

GCD of 13, 309, 486, 613 is 1

2. Where do I get the detailed procedure to find GCD of 13, 309, 486, 613?

You can find a detailed procedure to find GCD of 13, 309, 486, 613 on our page.

3. How to find GCD of 13, 309, 486, 613 on a calculator?

You can find the GCD of 13, 309, 486, 613 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.