GCD of 100, 313, 522, 817 Calculator

Given Input numbers are 100, 313, 522, 817

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

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 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Greatest Common Divisior

We found the divisors of 100, 313, 522, 817 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 313, 522, 817 is 1.

Therefore, GCD of numbers 100, 313, 522, 817 is 1

Given Input Data is 100, 313, 522, 817

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

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

Prime Factorization of 313 is 313

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 817 is 19 x 43

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(100, 313) = 31300

GCD(100, 313) = ( 100 x 313 ) / 31300

GCD(100, 313) = 31300 / 31300

GCD(100, 313) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 522

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

LCM(1, 522) = 522

GCD(1, 522) = ( 1 x 522 ) / 522

GCD(1, 522) = 522 / 522

GCD(1, 522) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 817

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

LCM(1, 817) = 817

GCD(1, 817) = ( 1 x 817 ) / 817

GCD(1, 817) = 817 / 817

GCD(1, 817) = 1

GCD of 100, 313, 522, 817 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 875, 707, 900, 710
• GCD of 115, 988, 112, 750
• GCD of 558, 208, 151, 685
• GCD of 853, 632, 652, 509
• GCD of 527, 463, 445, 851

1. What is the GCD of 100, 313, 522, 817?

GCD of 100, 313, 522, 817 is 1

2. Where do I get the detailed procedure to find GCD of 100, 313, 522, 817?

You can find a detailed procedure to find GCD of 100, 313, 522, 817 on our page.

3. How to find GCD of 100, 313, 522, 817 on a calculator?

You can find the GCD of 100, 313, 522, 817 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.