GCD of 418, 538, 441, 394 Calculator

Given Input numbers are 418, 538, 441, 394

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

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 538

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

1, 2, 269, 538

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Greatest Common Divisior

We found the divisors of 418, 538, 441, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 418, 538, 441, 394 is 1.

Therefore, GCD of numbers 418, 538, 441, 394 is 1

Given Input Data is 418, 538, 441, 394

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

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 538 is 2 x 269

Prime Factorization of 441 is 3 x 3 x 7 x 7

Prime Factorization of 394 is 2 x 197

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(418, 538) = 112442

GCD(418, 538) = ( 418 x 538 ) / 112442

GCD(418, 538) = 224884 / 112442

GCD(418, 538) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 441

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

LCM(2, 441) = 882

GCD(2, 441) = ( 2 x 441 ) / 882

GCD(2, 441) = 882 / 882

GCD(2, 441) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 394

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

LCM(1, 394) = 394

GCD(1, 394) = ( 1 x 394 ) / 394

GCD(1, 394) = 394 / 394

GCD(1, 394) = 1

GCD of 418, 538, 441, 394 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 783, 636, 304, 549
• GCD of 407, 292, 952, 449
• GCD of 173, 902, 200, 342
• GCD of 530, 397, 808, 307
• GCD of 545, 841, 950, 636

1. What is the GCD of 418, 538, 441, 394?

GCD of 418, 538, 441, 394 is 1

2. Where do I get the detailed procedure to find GCD of 418, 538, 441, 394?

You can find a detailed procedure to find GCD of 418, 538, 441, 394 on our page.

3. How to find GCD of 418, 538, 441, 394 on a calculator?

You can find the GCD of 418, 538, 441, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.