GCD of 459, 939, 920, 566 Calculator

Given Input numbers are 459, 939, 920, 566

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

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 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Greatest Common Divisior

We found the divisors of 459, 939, 920, 566 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 939, 920, 566 is 1.

Therefore, GCD of numbers 459, 939, 920, 566 is 1

Given Input Data is 459, 939, 920, 566

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

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

Prime Factorization of 939 is 3 x 313

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 566 is 2 x 283

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(459, 939) = 143667

GCD(459, 939) = ( 459 x 939 ) / 143667

GCD(459, 939) = 431001 / 143667

GCD(459, 939) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 920

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

LCM(3, 920) = 2760

GCD(3, 920) = ( 3 x 920 ) / 2760

GCD(3, 920) = 2760 / 2760

GCD(3, 920) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 566

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

LCM(1, 566) = 566

GCD(1, 566) = ( 1 x 566 ) / 566

GCD(1, 566) = 566 / 566

GCD(1, 566) = 1

GCD of 459, 939, 920, 566 is 1

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1. What is the GCD of 459, 939, 920, 566?

GCD of 459, 939, 920, 566 is 1

2. Where do I get the detailed procedure to find GCD of 459, 939, 920, 566?

You can find a detailed procedure to find GCD of 459, 939, 920, 566 on our page.

3. How to find GCD of 459, 939, 920, 566 on a calculator?

You can find the GCD of 459, 939, 920, 566 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.