GCD of 321, 771, 593, 800 Calculator

Given Input numbers are 321, 771, 593, 800

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 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 593

List of positive integer divisors of 593 that divides 593 without a remainder.

1, 593

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Greatest Common Divisior

We found the divisors of 321, 771, 593, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 771, 593, 800 is 1.

Therefore, GCD of numbers 321, 771, 593, 800 is 1

Given Input Data is 321, 771, 593, 800

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 771 is 3 x 257

Prime Factorization of 593 is 593

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

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, 771) = 82497

GCD(321, 771) = ( 321 x 771 ) / 82497

GCD(321, 771) = 247491 / 82497

GCD(321, 771) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 593

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

LCM(3, 593) = 1779

GCD(3, 593) = ( 3 x 593 ) / 1779

GCD(3, 593) = 1779 / 1779

GCD(3, 593) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

GCD of 321, 771, 593, 800 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 333, 249, 643
• GCD of 310, 999, 691, 245
• GCD of 697, 454, 850, 463
• GCD of 156, 207, 495, 869
• GCD of 352, 588, 666, 924

1. What is the GCD of 321, 771, 593, 800?

GCD of 321, 771, 593, 800 is 1

2. Where do I get the detailed procedure to find GCD of 321, 771, 593, 800?

You can find a detailed procedure to find GCD of 321, 771, 593, 800 on our page.

3. How to find GCD of 321, 771, 593, 800 on a calculator?

You can find the GCD of 321, 771, 593, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.