GCD of 512, 256, 19, 426 Calculator

Given Input numbers are 512, 256, 19, 426

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

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

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 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Greatest Common Divisior

We found the divisors of 512, 256, 19, 426 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 256, 19, 426 is 1.

Therefore, GCD of numbers 512, 256, 19, 426 is 1

Given Input Data is 512, 256, 19, 426

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

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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

Prime Factorization of 19 is 19

Prime Factorization of 426 is 2 x 3 x 71

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(512, 256) = 512

GCD(512, 256) = ( 512 x 256 ) / 512

GCD(512, 256) = 131072 / 512

GCD(512, 256) = 256

Step2:

Here we consider the GCD from the above i.e. 256 as first number and the next as 19

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

LCM(256, 19) = 4864

GCD(256, 19) = ( 256 x 19 ) / 4864

GCD(256, 19) = 4864 / 4864

GCD(256, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 426

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

LCM(1, 426) = 426

GCD(1, 426) = ( 1 x 426 ) / 426

GCD(1, 426) = 426 / 426

GCD(1, 426) = 1

GCD of 512, 256, 19, 426 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 204, 821, 32, 904
• GCD of 334, 767, 51, 787
• GCD of 837, 981, 81, 170
• GCD of 555, 408, 29, 723
• GCD of 575, 712, 40, 657

1. What is the GCD of 512, 256, 19, 426?

GCD of 512, 256, 19, 426 is 1

2. Where do I get the detailed procedure to find GCD of 512, 256, 19, 426?

You can find a detailed procedure to find GCD of 512, 256, 19, 426 on our page.

3. How to find GCD of 512, 256, 19, 426 on a calculator?

You can find the GCD of 512, 256, 19, 426 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.