GCD of 321, 666, 556, 506 Calculator

Given Input numbers are 321, 666, 556, 506

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 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Greatest Common Divisior

We found the divisors of 321, 666, 556, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 666, 556, 506 is 1.

Therefore, GCD of numbers 321, 666, 556, 506 is 1

Given Input Data is 321, 666, 556, 506

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 666 is 2 x 3 x 3 x 37

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 506 is 2 x 11 x 23

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, 666) = 71262

GCD(321, 666) = ( 321 x 666 ) / 71262

GCD(321, 666) = 213786 / 71262

GCD(321, 666) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 556

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

LCM(3, 556) = 1668

GCD(3, 556) = ( 3 x 556 ) / 1668

GCD(3, 556) = 1668 / 1668

GCD(3, 556) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 506

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

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 1

GCD of 321, 666, 556, 506 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 281, 229, 279, 763
• GCD of 918, 588, 157, 146
• GCD of 359, 783, 993, 788
• GCD of 332, 473, 763, 229
• GCD of 140, 709, 913, 895

1. What is the GCD of 321, 666, 556, 506?

GCD of 321, 666, 556, 506 is 1

2. Where do I get the detailed procedure to find GCD of 321, 666, 556, 506?

You can find a detailed procedure to find GCD of 321, 666, 556, 506 on our page.

3. How to find GCD of 321, 666, 556, 506 on a calculator?

You can find the GCD of 321, 666, 556, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.