GCD of 538, 195, 419, 442 Calculator

Given Input numbers are 538, 195, 419, 442

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

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

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 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

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 538, 195, 419, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 195, 419, 442 is 1.

Therefore, GCD of numbers 538, 195, 419, 442 is 1

Given Input Data is 538, 195, 419, 442

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 419 is 419

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(538, 195) = 104910

GCD(538, 195) = ( 538 x 195 ) / 104910

GCD(538, 195) = 104910 / 104910

GCD(538, 195) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 419

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

LCM(1, 419) = 419

GCD(1, 419) = ( 1 x 419 ) / 419

GCD(1, 419) = 419 / 419

GCD(1, 419) = 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 538, 195, 419, 442 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 234, 404, 225, 328
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• GCD of 171, 195, 332, 531

1. What is the GCD of 538, 195, 419, 442?

GCD of 538, 195, 419, 442 is 1

2. Where do I get the detailed procedure to find GCD of 538, 195, 419, 442?

You can find a detailed procedure to find GCD of 538, 195, 419, 442 on our page.

3. How to find GCD of 538, 195, 419, 442 on a calculator?

You can find the GCD of 538, 195, 419, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.