GCD of 180, 231, 421 Calculator

Given Input numbers are 180, 231, 421

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 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Greatest Common Divisior

We found the divisors of 180, 231, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 231, 421 is 1.

Therefore, GCD of numbers 180, 231, 421 is 1

Given Input Data is 180, 231, 421

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 231 is 3 x 7 x 11

Prime Factorization of 421 is 421

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, 231) = 13860

GCD(180, 231) = ( 180 x 231 ) / 13860

GCD(180, 231) = 41580 / 13860

GCD(180, 231) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 421

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

LCM(3, 421) = 1263

GCD(3, 421) = ( 3 x 421 ) / 1263

GCD(3, 421) = 1263 / 1263

GCD(3, 421) = 1

GCD of 180, 231, 421 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 462, 667, 901
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• GCD of 380, 108, 421

1. What is the GCD of 180, 231, 421?

GCD of 180, 231, 421 is 1

2. Where do I get the detailed procedure to find GCD of 180, 231, 421?

You can find a detailed procedure to find GCD of 180, 231, 421 on our page.

3. How to find GCD of 180, 231, 421 on a calculator?

You can find the GCD of 180, 231, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.