GCD of 506, 654, 331, 401 Calculator

Given Input numbers are 506, 654, 331, 401

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

Divisors of 506

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

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Greatest Common Divisior

We found the divisors of 506, 654, 331, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 654, 331, 401 is 1.

Therefore, GCD of numbers 506, 654, 331, 401 is 1

Given Input Data is 506, 654, 331, 401

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 331 is 331

Prime Factorization of 401 is 401

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(506, 654) = 165462

GCD(506, 654) = ( 506 x 654 ) / 165462

GCD(506, 654) = 330924 / 165462

GCD(506, 654) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 331

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

LCM(2, 331) = 662

GCD(2, 331) = ( 2 x 331 ) / 662

GCD(2, 331) = 662 / 662

GCD(2, 331) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 401

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

LCM(1, 401) = 401

GCD(1, 401) = ( 1 x 401 ) / 401

GCD(1, 401) = 401 / 401

GCD(1, 401) = 1

GCD of 506, 654, 331, 401 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 168, 745, 224, 712
• GCD of 235, 951, 412, 961
• GCD of 220, 464, 939, 220
• GCD of 511, 683, 186, 765
• GCD of 688, 636, 936, 360

1. What is the GCD of 506, 654, 331, 401?

GCD of 506, 654, 331, 401 is 1

2. Where do I get the detailed procedure to find GCD of 506, 654, 331, 401?

You can find a detailed procedure to find GCD of 506, 654, 331, 401 on our page.

3. How to find GCD of 506, 654, 331, 401 on a calculator?

You can find the GCD of 506, 654, 331, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.