GCD of 404, 864, 726, 443 Calculator

Given Input numbers are 404, 864, 726, 443

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

Divisors of 404

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

1, 2, 4, 101, 202, 404

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 443

List of positive integer divisors of 443 that divides 443 without a remainder.

1, 443

Greatest Common Divisior

We found the divisors of 404, 864, 726, 443 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 864, 726, 443 is 1.

Therefore, GCD of numbers 404, 864, 726, 443 is 1

Given Input Data is 404, 864, 726, 443

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

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 443 is 443

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(404, 864) = 87264

GCD(404, 864) = ( 404 x 864 ) / 87264

GCD(404, 864) = 349056 / 87264

GCD(404, 864) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 726

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

LCM(4, 726) = 1452

GCD(4, 726) = ( 4 x 726 ) / 1452

GCD(4, 726) = 2904 / 1452

GCD(4, 726) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 443

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

LCM(2, 443) = 886

GCD(2, 443) = ( 2 x 443 ) / 886

GCD(2, 443) = 886 / 886

GCD(2, 443) = 1

GCD of 404, 864, 726, 443 is 1

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1. What is the GCD of 404, 864, 726, 443?

GCD of 404, 864, 726, 443 is 1

2. Where do I get the detailed procedure to find GCD of 404, 864, 726, 443?

You can find a detailed procedure to find GCD of 404, 864, 726, 443 on our page.

3. How to find GCD of 404, 864, 726, 443 on a calculator?

You can find the GCD of 404, 864, 726, 443 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.