GCD of 282, 856, 609, 361 Calculator

Given Input numbers are 282, 856, 609, 361

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

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 856

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

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

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 282, 856, 609, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 856, 609, 361 is 1.

Therefore, GCD of numbers 282, 856, 609, 361 is 1

Given Input Data is 282, 856, 609, 361

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

Prime Factorization of 282 is 2 x 3 x 47

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

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 361 is 19 x 19

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(282, 856) = 120696

GCD(282, 856) = ( 282 x 856 ) / 120696

GCD(282, 856) = 241392 / 120696

GCD(282, 856) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 609

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

LCM(2, 609) = 1218

GCD(2, 609) = ( 2 x 609 ) / 1218

GCD(2, 609) = 1218 / 1218

GCD(2, 609) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 282, 856, 609, 361 is 1

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1. What is the GCD of 282, 856, 609, 361?

GCD of 282, 856, 609, 361 is 1

2. Where do I get the detailed procedure to find GCD of 282, 856, 609, 361?

You can find a detailed procedure to find GCD of 282, 856, 609, 361 on our page.

3. How to find GCD of 282, 856, 609, 361 on a calculator?

You can find the GCD of 282, 856, 609, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.