GCD of 468, 609, 392, 854 Calculator

Given Input numbers are 468, 609, 392, 854

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

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 468, 609, 392, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 609, 392, 854 is 1.

Therefore, GCD of numbers 468, 609, 392, 854 is 1

Given Input Data is 468, 609, 392, 854

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

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 854 is 2 x 7 x 61

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(468, 609) = 95004

GCD(468, 609) = ( 468 x 609 ) / 95004

GCD(468, 609) = 285012 / 95004

GCD(468, 609) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 392

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

LCM(3, 392) = 1176

GCD(3, 392) = ( 3 x 392 ) / 1176

GCD(3, 392) = 1176 / 1176

GCD(3, 392) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 854

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

LCM(1, 854) = 854

GCD(1, 854) = ( 1 x 854 ) / 854

GCD(1, 854) = 854 / 854

GCD(1, 854) = 1

GCD of 468, 609, 392, 854 is 1

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1. What is the GCD of 468, 609, 392, 854?

GCD of 468, 609, 392, 854 is 1

2. Where do I get the detailed procedure to find GCD of 468, 609, 392, 854?

You can find a detailed procedure to find GCD of 468, 609, 392, 854 on our page.

3. How to find GCD of 468, 609, 392, 854 on a calculator?

You can find the GCD of 468, 609, 392, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.