GCD of 180, 230, 106, 621 Calculator

Given Input numbers are 180, 230, 106, 621

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

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 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 621

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

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

Greatest Common Divisior

We found the divisors of 180, 230, 106, 621 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 230, 106, 621 is 1.

Therefore, GCD of numbers 180, 230, 106, 621 is 1

Given Input Data is 180, 230, 106, 621

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 106 is 2 x 53

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

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(180, 230) = 4140

GCD(180, 230) = ( 180 x 230 ) / 4140

GCD(180, 230) = 41400 / 4140

GCD(180, 230) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 106

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

LCM(10, 106) = 530

GCD(10, 106) = ( 10 x 106 ) / 530

GCD(10, 106) = 1060 / 530

GCD(10, 106) = 2

Step3:

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

GCD of 180, 230, 106, 621 is 1

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1. What is the GCD of 180, 230, 106, 621?

GCD of 180, 230, 106, 621 is 1

2. Where do I get the detailed procedure to find GCD of 180, 230, 106, 621?

You can find a detailed procedure to find GCD of 180, 230, 106, 621 on our page.

3. How to find GCD of 180, 230, 106, 621 on a calculator?

You can find the GCD of 180, 230, 106, 621 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.