GCD of 406, 855, 558, 189 Calculator

Given Input numbers are 406, 855, 558, 189

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

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Greatest Common Divisior

We found the divisors of 406, 855, 558, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 855, 558, 189 is 1.

Therefore, GCD of numbers 406, 855, 558, 189 is 1

Given Input Data is 406, 855, 558, 189

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

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 189 is 3 x 3 x 3 x 7

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(406, 855) = 347130

GCD(406, 855) = ( 406 x 855 ) / 347130

GCD(406, 855) = 347130 / 347130

GCD(406, 855) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 406, 855, 558, 189 is 1

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1. What is the GCD of 406, 855, 558, 189?

GCD of 406, 855, 558, 189 is 1

2. Where do I get the detailed procedure to find GCD of 406, 855, 558, 189?

You can find a detailed procedure to find GCD of 406, 855, 558, 189 on our page.

3. How to find GCD of 406, 855, 558, 189 on a calculator?

You can find the GCD of 406, 855, 558, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.