GCD of 408, 579, 218, 421 Calculator

Given Input numbers are 408, 579, 218, 421

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Greatest Common Divisior

We found the divisors of 408, 579, 218, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 579, 218, 421 is 1.

Therefore, GCD of numbers 408, 579, 218, 421 is 1

Given Input Data is 408, 579, 218, 421

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 579 is 3 x 193

Prime Factorization of 218 is 2 x 109

Prime Factorization of 421 is 421

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(408, 579) = 78744

GCD(408, 579) = ( 408 x 579 ) / 78744

GCD(408, 579) = 236232 / 78744

GCD(408, 579) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 218

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

LCM(3, 218) = 654

GCD(3, 218) = ( 3 x 218 ) / 654

GCD(3, 218) = 654 / 654

GCD(3, 218) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 421

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

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

GCD(1, 421) = 421 / 421

GCD(1, 421) = 1

GCD of 408, 579, 218, 421 is 1

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1. What is the GCD of 408, 579, 218, 421?

GCD of 408, 579, 218, 421 is 1

2. Where do I get the detailed procedure to find GCD of 408, 579, 218, 421?

You can find a detailed procedure to find GCD of 408, 579, 218, 421 on our page.

3. How to find GCD of 408, 579, 218, 421 on a calculator?

You can find the GCD of 408, 579, 218, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.