GCD of 258, 459, 84, 856 Calculator

Given Input numbers are 258, 459, 84, 856

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

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Greatest Common Divisior

We found the divisors of 258, 459, 84, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 459, 84, 856 is 1.

Therefore, GCD of numbers 258, 459, 84, 856 is 1

Given Input Data is 258, 459, 84, 856

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

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 856 is 2 x 2 x 2 x 107

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(258, 459) = 39474

GCD(258, 459) = ( 258 x 459 ) / 39474

GCD(258, 459) = 118422 / 39474

GCD(258, 459) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 84

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

LCM(3, 84) = 84

GCD(3, 84) = ( 3 x 84 ) / 84

GCD(3, 84) = 252 / 84

GCD(3, 84) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 856

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

LCM(3, 856) = 2568

GCD(3, 856) = ( 3 x 856 ) / 2568

GCD(3, 856) = 2568 / 2568

GCD(3, 856) = 1

GCD of 258, 459, 84, 856 is 1

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1. What is the GCD of 258, 459, 84, 856?

GCD of 258, 459, 84, 856 is 1

2. Where do I get the detailed procedure to find GCD of 258, 459, 84, 856?

You can find a detailed procedure to find GCD of 258, 459, 84, 856 on our page.

3. How to find GCD of 258, 459, 84, 856 on a calculator?

You can find the GCD of 258, 459, 84, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.