GCD of 322, 627, 22, 180 Calculator

Given Input numbers are 322, 627, 22, 180

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

Divisors of 322

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

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

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

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 322, 627, 22, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 627, 22, 180 is 1.

Therefore, GCD of numbers 322, 627, 22, 180 is 1

Given Input Data is 322, 627, 22, 180

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 22 is 2 x 11

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(322, 627) = 201894

GCD(322, 627) = ( 322 x 627 ) / 201894

GCD(322, 627) = 201894 / 201894

GCD(322, 627) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

Step3:

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 322, 627, 22, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 215, 584, 80, 576
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• GCD of 578, 119, 81, 397
• GCD of 329, 434, 31, 921

1. What is the GCD of 322, 627, 22, 180?

GCD of 322, 627, 22, 180 is 1

2. Where do I get the detailed procedure to find GCD of 322, 627, 22, 180?

You can find a detailed procedure to find GCD of 322, 627, 22, 180 on our page.

3. How to find GCD of 322, 627, 22, 180 on a calculator?

You can find the GCD of 322, 627, 22, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.