GCD of 394, 618, 405, 563 Calculator

Given Input numbers are 394, 618, 405, 563

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

Divisors of 394

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

1, 2, 197, 394

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Greatest Common Divisior

We found the divisors of 394, 618, 405, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 618, 405, 563 is 1.

Therefore, GCD of numbers 394, 618, 405, 563 is 1

Given Input Data is 394, 618, 405, 563

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

Prime Factorization of 394 is 2 x 197

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 563 is 563

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(394, 618) = 121746

GCD(394, 618) = ( 394 x 618 ) / 121746

GCD(394, 618) = 243492 / 121746

GCD(394, 618) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 405

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

LCM(2, 405) = 810

GCD(2, 405) = ( 2 x 405 ) / 810

GCD(2, 405) = 810 / 810

GCD(2, 405) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 563

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

LCM(1, 563) = 563

GCD(1, 563) = ( 1 x 563 ) / 563

GCD(1, 563) = 563 / 563

GCD(1, 563) = 1

GCD of 394, 618, 405, 563 is 1

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1. What is the GCD of 394, 618, 405, 563?

GCD of 394, 618, 405, 563 is 1

2. Where do I get the detailed procedure to find GCD of 394, 618, 405, 563?

You can find a detailed procedure to find GCD of 394, 618, 405, 563 on our page.

3. How to find GCD of 394, 618, 405, 563 on a calculator?

You can find the GCD of 394, 618, 405, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.