GCD of 256, 491, 15, 577 Calculator

Given Input numbers are 256, 491, 15, 577

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 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

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 256, 491, 15, 577 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 256, 491, 15, 577 is 1.

Therefore, GCD of numbers 256, 491, 15, 577 is 1

Given Input Data is 256, 491, 15, 577

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 491 is 491

Prime Factorization of 15 is 3 x 5

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(256, 491) = 125696

GCD(256, 491) = ( 256 x 491 ) / 125696

GCD(256, 491) = 125696 / 125696

GCD(256, 491) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 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 256, 491, 15, 577 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 656, 778, 32, 451
• GCD of 370, 600, 75, 649
• GCD of 447, 887, 49, 786
• GCD of 559, 188, 63, 497
• GCD of 735, 425, 66, 361

1. What is the GCD of 256, 491, 15, 577?

GCD of 256, 491, 15, 577 is 1

2. Where do I get the detailed procedure to find GCD of 256, 491, 15, 577?

You can find a detailed procedure to find GCD of 256, 491, 15, 577 on our page.

3. How to find GCD of 256, 491, 15, 577 on a calculator?

You can find the GCD of 256, 491, 15, 577 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.