GCD of 321, 623, 180 Calculator

Given Input numbers are 321, 623, 180

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

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

Greatest Common Divisior

We found the divisors of 321, 623, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 623, 180 is 1.

Therefore, GCD of numbers 321, 623, 180 is 1

Given Input Data is 321, 623, 180

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 623 is 7 x 89

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

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(321, 623) = 199983

GCD(321, 623) = ( 321 x 623 ) / 199983

GCD(321, 623) = 199983 / 199983

GCD(321, 623) = 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

GCD of 321, 623, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 589, 134, 985
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1. What is the GCD of 321, 623, 180?

GCD of 321, 623, 180 is 1

2. Where do I get the detailed procedure to find GCD of 321, 623, 180?

You can find a detailed procedure to find GCD of 321, 623, 180 on our page.

3. How to find GCD of 321, 623, 180 on a calculator?

You can find the GCD of 321, 623, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.