GCD of 578, 774, 21, 443 Calculator

Given Input numbers are 578, 774, 21, 443

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

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

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 578, 774, 21, 443 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 578, 774, 21, 443 is 1.

Therefore, GCD of numbers 578, 774, 21, 443 is 1

Given Input Data is 578, 774, 21, 443

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

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 21 is 3 x 7

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(578, 774) = 223686

GCD(578, 774) = ( 578 x 774 ) / 223686

GCD(578, 774) = 447372 / 223686

GCD(578, 774) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

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

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 443

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

LCM(1, 443) = 443

GCD(1, 443) = ( 1 x 443 ) / 443

GCD(1, 443) = 443 / 443

GCD(1, 443) = 1

GCD of 578, 774, 21, 443 is 1

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• GCD of 596, 398, 60, 696
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• GCD of 759, 903, 83, 753

1. What is the GCD of 578, 774, 21, 443?

GCD of 578, 774, 21, 443 is 1

2. Where do I get the detailed procedure to find GCD of 578, 774, 21, 443?

You can find a detailed procedure to find GCD of 578, 774, 21, 443 on our page.

3. How to find GCD of 578, 774, 21, 443 on a calculator?

You can find the GCD of 578, 774, 21, 443 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.