GCD of 195, 605, 323, 442 Calculator

Given Input numbers are 195, 605, 323, 442

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

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Greatest Common Divisior

We found the divisors of 195, 605, 323, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 605, 323, 442 is 1.

Therefore, GCD of numbers 195, 605, 323, 442 is 1

Given Input Data is 195, 605, 323, 442

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

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 323 is 17 x 19

Prime Factorization of 442 is 2 x 13 x 17

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(195, 605) = 23595

GCD(195, 605) = ( 195 x 605 ) / 23595

GCD(195, 605) = 117975 / 23595

GCD(195, 605) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 323

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

LCM(5, 323) = 1615

GCD(5, 323) = ( 5 x 323 ) / 1615

GCD(5, 323) = 1615 / 1615

GCD(5, 323) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 442

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

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

GCD(1, 442) = 442 / 442

GCD(1, 442) = 1

GCD of 195, 605, 323, 442 is 1

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1. What is the GCD of 195, 605, 323, 442?

GCD of 195, 605, 323, 442 is 1

2. Where do I get the detailed procedure to find GCD of 195, 605, 323, 442?

You can find a detailed procedure to find GCD of 195, 605, 323, 442 on our page.

3. How to find GCD of 195, 605, 323, 442 on a calculator?

You can find the GCD of 195, 605, 323, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.