GCD of 258, 790, 204, 731 Calculator

Given Input numbers are 258, 790, 204, 731

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 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Greatest Common Divisior

We found the divisors of 258, 790, 204, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 790, 204, 731 is 1.

Therefore, GCD of numbers 258, 790, 204, 731 is 1

Given Input Data is 258, 790, 204, 731

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 790 is 2 x 5 x 79

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 731 is 17 x 43

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, 790) = 101910

GCD(258, 790) = ( 258 x 790 ) / 101910

GCD(258, 790) = 203820 / 101910

GCD(258, 790) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 204

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

LCM(2, 204) = 204

GCD(2, 204) = ( 2 x 204 ) / 204

GCD(2, 204) = 408 / 204

GCD(2, 204) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 731

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

LCM(2, 731) = 1462

GCD(2, 731) = ( 2 x 731 ) / 1462

GCD(2, 731) = 1462 / 1462

GCD(2, 731) = 1

GCD of 258, 790, 204, 731 is 1

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• GCD of 684, 439, 185, 624
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• GCD of 995, 916, 679, 495

1. What is the GCD of 258, 790, 204, 731?

GCD of 258, 790, 204, 731 is 1

2. Where do I get the detailed procedure to find GCD of 258, 790, 204, 731?

You can find a detailed procedure to find GCD of 258, 790, 204, 731 on our page.

3. How to find GCD of 258, 790, 204, 731 on a calculator?

You can find the GCD of 258, 790, 204, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.