GCD of 13, 599, 462, 205 Calculator

Given Input numbers are 13, 599, 462, 205

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 599

List of positive integer divisors of 599 that divides 599 without a remainder.

1, 599

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Greatest Common Divisior

We found the divisors of 13, 599, 462, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 599, 462, 205 is 1.

Therefore, GCD of numbers 13, 599, 462, 205 is 1

Given Input Data is 13, 599, 462, 205

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

Prime Factorization of 13 is 13

Prime Factorization of 599 is 599

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 205 is 5 x 41

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, 599) = 7787

GCD(13, 599) = ( 13 x 599 ) / 7787

GCD(13, 599) = 7787 / 7787

GCD(13, 599) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 205

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

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

GCD(1, 205) = 205 / 205

GCD(1, 205) = 1

GCD of 13, 599, 462, 205 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 88, 657, 176, 150
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• GCD of 49, 398, 919, 676

1. What is the GCD of 13, 599, 462, 205?

GCD of 13, 599, 462, 205 is 1

2. Where do I get the detailed procedure to find GCD of 13, 599, 462, 205?

You can find a detailed procedure to find GCD of 13, 599, 462, 205 on our page.

3. How to find GCD of 13, 599, 462, 205 on a calculator?

You can find the GCD of 13, 599, 462, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.