GCD of 258, 489, 83, 577 Calculator

Given Input numbers are 258, 489, 83, 577

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 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Greatest Common Divisior

We found the divisors of 258, 489, 83, 577 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 489, 83, 577 is 1.

Therefore, GCD of numbers 258, 489, 83, 577 is 1

Given Input Data is 258, 489, 83, 577

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 489 is 3 x 163

Prime Factorization of 83 is 83

Prime Factorization of 577 is 577

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, 489) = 42054

GCD(258, 489) = ( 258 x 489 ) / 42054

GCD(258, 489) = 126162 / 42054

GCD(258, 489) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 83

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

LCM(3, 83) = 249

GCD(3, 83) = ( 3 x 83 ) / 249

GCD(3, 83) = 249 / 249

GCD(3, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 577

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

LCM(1, 577) = 577

GCD(1, 577) = ( 1 x 577 ) / 577

GCD(1, 577) = 577 / 577

GCD(1, 577) = 1

GCD of 258, 489, 83, 577 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 424, 527, 57, 966
• GCD of 209, 188, 40, 977
• GCD of 217, 488, 21, 854
• GCD of 727, 154, 60, 749
• GCD of 640, 389, 72, 902

1. What is the GCD of 258, 489, 83, 577?

GCD of 258, 489, 83, 577 is 1

2. Where do I get the detailed procedure to find GCD of 258, 489, 83, 577?

You can find a detailed procedure to find GCD of 258, 489, 83, 577 on our page.

3. How to find GCD of 258, 489, 83, 577 on a calculator?

You can find the GCD of 258, 489, 83, 577 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.