GCD of 460, 256, 581, 797 Calculator

Given Input numbers are 460, 256, 581, 797

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Divisors of 797

List of positive integer divisors of 797 that divides 797 without a remainder.

1, 797

Greatest Common Divisior

We found the divisors of 460, 256, 581, 797 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 256, 581, 797 is 1.

Therefore, GCD of numbers 460, 256, 581, 797 is 1

Given Input Data is 460, 256, 581, 797

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

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

Prime Factorization of 581 is 7 x 83

Prime Factorization of 797 is 797

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(460, 256) = 29440

GCD(460, 256) = ( 460 x 256 ) / 29440

GCD(460, 256) = 117760 / 29440

GCD(460, 256) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 581

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

LCM(4, 581) = 2324

GCD(4, 581) = ( 4 x 581 ) / 2324

GCD(4, 581) = 2324 / 2324

GCD(4, 581) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 797

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

LCM(1, 797) = 797

GCD(1, 797) = ( 1 x 797 ) / 797

GCD(1, 797) = 797 / 797

GCD(1, 797) = 1

GCD of 460, 256, 581, 797 is 1

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• GCD of 809, 661, 510, 543
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1. What is the GCD of 460, 256, 581, 797?

GCD of 460, 256, 581, 797 is 1

2. Where do I get the detailed procedure to find GCD of 460, 256, 581, 797?

You can find a detailed procedure to find GCD of 460, 256, 581, 797 on our page.

3. How to find GCD of 460, 256, 581, 797 on a calculator?

You can find the GCD of 460, 256, 581, 797 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.