GCD of 13, 322, 453, 508 Calculator

Given Input numbers are 13, 322, 453, 508

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

Divisors of 13

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

1, 13

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 13, 322, 453, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 322, 453, 508 is 1.

Therefore, GCD of numbers 13, 322, 453, 508 is 1

Given Input Data is 13, 322, 453, 508

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

Prime Factorization of 13 is 13

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 453 is 3 x 151

Prime Factorization of 508 is 2 x 2 x 127

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(13, 322) = 4186

GCD(13, 322) = ( 13 x 322 ) / 4186

GCD(13, 322) = 4186 / 4186

GCD(13, 322) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 453

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

LCM(1, 453) = 453

GCD(1, 453) = ( 1 x 453 ) / 453

GCD(1, 453) = 453 / 453

GCD(1, 453) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

GCD of 13, 322, 453, 508 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 51, 204, 846, 342
• GCD of 13, 270, 219, 917
• GCD of 36, 522, 315, 244
• GCD of 58, 335, 758, 160
• GCD of 24, 783, 907, 305

1. What is the GCD of 13, 322, 453, 508?

GCD of 13, 322, 453, 508 is 1

2. Where do I get the detailed procedure to find GCD of 13, 322, 453, 508?

You can find a detailed procedure to find GCD of 13, 322, 453, 508 on our page.

3. How to find GCD of 13, 322, 453, 508 on a calculator?

You can find the GCD of 13, 322, 453, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.