GCD of 219, 463, 180, 322 Calculator

Given Input numbers are 219, 463, 180, 322

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

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

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 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 219, 463, 180, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 219, 463, 180, 322 is 1.

Therefore, GCD of numbers 219, 463, 180, 322 is 1

Given Input Data is 219, 463, 180, 322

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

Prime Factorization of 219 is 3 x 73

Prime Factorization of 463 is 463

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

Prime Factorization of 322 is 2 x 7 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(219, 463) = 101397

GCD(219, 463) = ( 219 x 463 ) / 101397

GCD(219, 463) = 101397 / 101397

GCD(219, 463) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

GCD of 219, 463, 180, 322 is 1

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• GCD of 360, 683, 434, 194
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1. What is the GCD of 219, 463, 180, 322?

GCD of 219, 463, 180, 322 is 1

2. Where do I get the detailed procedure to find GCD of 219, 463, 180, 322?

You can find a detailed procedure to find GCD of 219, 463, 180, 322 on our page.

3. How to find GCD of 219, 463, 180, 322 on a calculator?

You can find the GCD of 219, 463, 180, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.