GCD of 13, 622, 100, 326 Calculator

Given Input numbers are 13, 622, 100, 326

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 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Greatest Common Divisior

We found the divisors of 13, 622, 100, 326 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 622, 100, 326 is 1.

Therefore, GCD of numbers 13, 622, 100, 326 is 1

Given Input Data is 13, 622, 100, 326

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

Prime Factorization of 13 is 13

Prime Factorization of 622 is 2 x 311

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 326 is 2 x 163

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, 622) = 8086

GCD(13, 622) = ( 13 x 622 ) / 8086

GCD(13, 622) = 8086 / 8086

GCD(13, 622) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 326

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

LCM(1, 326) = 326

GCD(1, 326) = ( 1 x 326 ) / 326

GCD(1, 326) = 326 / 326

GCD(1, 326) = 1

GCD of 13, 622, 100, 326 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 91, 189, 655, 803
• GCD of 16, 282, 530, 757
• GCD of 60, 163, 379, 364
• GCD of 60, 719, 764, 579
• GCD of 61, 911, 797, 313

1. What is the GCD of 13, 622, 100, 326?

GCD of 13, 622, 100, 326 is 1

2. Where do I get the detailed procedure to find GCD of 13, 622, 100, 326?

You can find a detailed procedure to find GCD of 13, 622, 100, 326 on our page.

3. How to find GCD of 13, 622, 100, 326 on a calculator?

You can find the GCD of 13, 622, 100, 326 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.