GCD of 309, 363, 22, 183 Calculator

Given Input numbers are 309, 363, 22, 183

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 22

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

1, 2, 11, 22

Divisors of 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Greatest Common Divisior

We found the divisors of 309, 363, 22, 183 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 363, 22, 183 is 1.

Therefore, GCD of numbers 309, 363, 22, 183 is 1

Given Input Data is 309, 363, 22, 183

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 22 is 2 x 11

Prime Factorization of 183 is 3 x 61

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(309, 363) = 37389

GCD(309, 363) = ( 309 x 363 ) / 37389

GCD(309, 363) = 112167 / 37389

GCD(309, 363) = 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 183

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

LCM(1, 183) = 183

GCD(1, 183) = ( 1 x 183 ) / 183

GCD(1, 183) = 183 / 183

GCD(1, 183) = 1

GCD of 309, 363, 22, 183 is 1

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1. What is the GCD of 309, 363, 22, 183?

GCD of 309, 363, 22, 183 is 1

2. Where do I get the detailed procedure to find GCD of 309, 363, 22, 183?

You can find a detailed procedure to find GCD of 309, 363, 22, 183 on our page.

3. How to find GCD of 309, 363, 22, 183 on a calculator?

You can find the GCD of 309, 363, 22, 183 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.