GCD of 512, 361, 727, 404 Calculator

Given Input numbers are 512, 361, 727, 404

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 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 512, 361, 727, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 361, 727, 404 is 1.

Therefore, GCD of numbers 512, 361, 727, 404 is 1

Given Input Data is 512, 361, 727, 404

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 361 is 19 x 19

Prime Factorization of 727 is 727

Prime Factorization of 404 is 2 x 2 x 101

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, 361) = 184832

GCD(512, 361) = ( 512 x 361 ) / 184832

GCD(512, 361) = 184832 / 184832

GCD(512, 361) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 727

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

LCM(1, 727) = 727

GCD(1, 727) = ( 1 x 727 ) / 727

GCD(1, 727) = 727 / 727

GCD(1, 727) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 404

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

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

GCD(1, 404) = 404 / 404

GCD(1, 404) = 1

GCD of 512, 361, 727, 404 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 960, 237, 767, 900
• GCD of 168, 139, 735, 174
• GCD of 340, 819, 736, 949
• GCD of 826, 105, 341, 376
• GCD of 150, 288, 409, 938

1. What is the GCD of 512, 361, 727, 404?

GCD of 512, 361, 727, 404 is 1

2. Where do I get the detailed procedure to find GCD of 512, 361, 727, 404?

You can find a detailed procedure to find GCD of 512, 361, 727, 404 on our page.

3. How to find GCD of 512, 361, 727, 404 on a calculator?

You can find the GCD of 512, 361, 727, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.