GCD of 459, 364, 428, 597 Calculator

Given Input numbers are 459, 364, 428, 597

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 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Greatest Common Divisior

We found the divisors of 459, 364, 428, 597 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 364, 428, 597 is 1.

Therefore, GCD of numbers 459, 364, 428, 597 is 1

Given Input Data is 459, 364, 428, 597

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 364 is 2 x 2 x 7 x 13

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 597 is 3 x 199

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, 364) = 167076

GCD(459, 364) = ( 459 x 364 ) / 167076

GCD(459, 364) = 167076 / 167076

GCD(459, 364) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

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

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 597

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

LCM(1, 597) = 597

GCD(1, 597) = ( 1 x 597 ) / 597

GCD(1, 597) = 597 / 597

GCD(1, 597) = 1

GCD of 459, 364, 428, 597 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 543, 638, 725, 492
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• GCD of 394, 506, 463, 187

1. What is the GCD of 459, 364, 428, 597?

GCD of 459, 364, 428, 597 is 1

2. Where do I get the detailed procedure to find GCD of 459, 364, 428, 597?

You can find a detailed procedure to find GCD of 459, 364, 428, 597 on our page.

3. How to find GCD of 459, 364, 428, 597 on a calculator?

You can find the GCD of 459, 364, 428, 597 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.