GCD of 249, 393, 22, 321 Calculator

Given Input numbers are 249, 393, 22, 321

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

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 22

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

1, 2, 11, 22

Divisors of 321

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

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 249, 393, 22, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 393, 22, 321 is 1.

Therefore, GCD of numbers 249, 393, 22, 321 is 1

Given Input Data is 249, 393, 22, 321

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

Prime Factorization of 249 is 3 x 83

Prime Factorization of 393 is 3 x 131

Prime Factorization of 22 is 2 x 11

Prime Factorization of 321 is 3 x 107

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(249, 393) = 32619

GCD(249, 393) = ( 249 x 393 ) / 32619

GCD(249, 393) = 97857 / 32619

GCD(249, 393) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 22

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

LCM(3, 22) = 66

GCD(3, 22) = ( 3 x 22 ) / 66

GCD(3, 22) = 66 / 66

GCD(3, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 321

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

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

GCD(1, 321) = 321 / 321

GCD(1, 321) = 1

GCD of 249, 393, 22, 321 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 272, 178, 16, 244
• GCD of 156, 957, 14, 592
• GCD of 639, 588, 38, 713
• GCD of 212, 328, 41, 810
• GCD of 543, 938, 13, 173

1. What is the GCD of 249, 393, 22, 321?

GCD of 249, 393, 22, 321 is 1

2. Where do I get the detailed procedure to find GCD of 249, 393, 22, 321?

You can find a detailed procedure to find GCD of 249, 393, 22, 321 on our page.

3. How to find GCD of 249, 393, 22, 321 on a calculator?

You can find the GCD of 249, 393, 22, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.