GCD of 230, 986, 621, 361 Calculator

Given Input numbers are 230, 986, 621, 361

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

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 621

List of positive integer divisors of 621 that divides 621 without a remainder.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 361

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

1, 19, 361

Greatest Common Divisior

We found the divisors of 230, 986, 621, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 986, 621, 361 is 1.

Therefore, GCD of numbers 230, 986, 621, 361 is 1

Given Input Data is 230, 986, 621, 361

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

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 621 is 3 x 3 x 3 x 23

Prime Factorization of 361 is 19 x 19

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(230, 986) = 113390

GCD(230, 986) = ( 230 x 986 ) / 113390

GCD(230, 986) = 226780 / 113390

GCD(230, 986) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 621

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

LCM(2, 621) = 1242

GCD(2, 621) = ( 2 x 621 ) / 1242

GCD(2, 621) = 1242 / 1242

GCD(2, 621) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 230, 986, 621, 361 is 1

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1. What is the GCD of 230, 986, 621, 361?

GCD of 230, 986, 621, 361 is 1

2. Where do I get the detailed procedure to find GCD of 230, 986, 621, 361?

You can find a detailed procedure to find GCD of 230, 986, 621, 361 on our page.

3. How to find GCD of 230, 986, 621, 361 on a calculator?

You can find the GCD of 230, 986, 621, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.