GCD of 321, 564, 443, 505 Calculator

Given Input numbers are 321, 564, 443, 505

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 443

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

1, 443

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 321, 564, 443, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 564, 443, 505 is 1.

Therefore, GCD of numbers 321, 564, 443, 505 is 1

Given Input Data is 321, 564, 443, 505

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 443 is 443

Prime Factorization of 505 is 5 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(321, 564) = 60348

GCD(321, 564) = ( 321 x 564 ) / 60348

GCD(321, 564) = 181044 / 60348

GCD(321, 564) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 443

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

LCM(3, 443) = 1329

GCD(3, 443) = ( 3 x 443 ) / 1329

GCD(3, 443) = 1329 / 1329

GCD(3, 443) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 505

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

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

GCD(1, 505) = 505 / 505

GCD(1, 505) = 1

GCD of 321, 564, 443, 505 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 145, 222, 192, 396
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• GCD of 197, 474, 712, 729

1. What is the GCD of 321, 564, 443, 505?

GCD of 321, 564, 443, 505 is 1

2. Where do I get the detailed procedure to find GCD of 321, 564, 443, 505?

You can find a detailed procedure to find GCD of 321, 564, 443, 505 on our page.

3. How to find GCD of 321, 564, 443, 505 on a calculator?

You can find the GCD of 321, 564, 443, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.