GCD of 323, 621, 13, 305 Calculator

Given Input numbers are 323, 621, 13, 305

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

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 621

List of positive integer divisors of 621 that divides 621 without a remainder.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Greatest Common Divisior

We found the divisors of 323, 621, 13, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 621, 13, 305 is 1.

Therefore, GCD of numbers 323, 621, 13, 305 is 1

Given Input Data is 323, 621, 13, 305

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

Prime Factorization of 323 is 17 x 19

Prime Factorization of 621 is 3 x 3 x 3 x 23

Prime Factorization of 13 is 13

Prime Factorization of 305 is 5 x 61

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(323, 621) = 200583

GCD(323, 621) = ( 323 x 621 ) / 200583

GCD(323, 621) = 200583 / 200583

GCD(323, 621) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 305

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

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

GCD(1, 305) = 305 / 305

GCD(1, 305) = 1

GCD of 323, 621, 13, 305 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 462, 676, 34, 752
• GCD of 177, 892, 69, 443
• GCD of 877, 353, 68, 318
• GCD of 960, 214, 50, 461
• GCD of 681, 424, 40, 787

1. What is the GCD of 323, 621, 13, 305?

GCD of 323, 621, 13, 305 is 1

2. Where do I get the detailed procedure to find GCD of 323, 621, 13, 305?

You can find a detailed procedure to find GCD of 323, 621, 13, 305 on our page.

3. How to find GCD of 323, 621, 13, 305 on a calculator?

You can find the GCD of 323, 621, 13, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.