GCD of 256, 590, 317, 358 Calculator

Given Input numbers are 256, 590, 317, 358

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

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 256, 590, 317, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 256, 590, 317, 358 is 1.

Therefore, GCD of numbers 256, 590, 317, 358 is 1

Given Input Data is 256, 590, 317, 358

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

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 317 is 317

Prime Factorization of 358 is 2 x 179

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(256, 590) = 75520

GCD(256, 590) = ( 256 x 590 ) / 75520

GCD(256, 590) = 151040 / 75520

GCD(256, 590) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 317

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

LCM(2, 317) = 634

GCD(2, 317) = ( 2 x 317 ) / 634

GCD(2, 317) = 634 / 634

GCD(2, 317) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 358

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

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

GCD(1, 358) = 358 / 358

GCD(1, 358) = 1

GCD of 256, 590, 317, 358 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 278, 720, 315, 435
• GCD of 613, 558, 567, 872
• GCD of 743, 872, 762, 801
• GCD of 691, 798, 317, 526
• GCD of 594, 189, 908, 946

1. What is the GCD of 256, 590, 317, 358?

GCD of 256, 590, 317, 358 is 1

2. Where do I get the detailed procedure to find GCD of 256, 590, 317, 358?

You can find a detailed procedure to find GCD of 256, 590, 317, 358 on our page.

3. How to find GCD of 256, 590, 317, 358 on a calculator?

You can find the GCD of 256, 590, 317, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.