GCD of 22, 300, 529, 328 Calculator

Given Input numbers are 22, 300, 529, 328

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

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Greatest Common Divisior

We found the divisors of 22, 300, 529, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 300, 529, 328 is 1.

Therefore, GCD of numbers 22, 300, 529, 328 is 1

Given Input Data is 22, 300, 529, 328

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 529 is 23 x 23

Prime Factorization of 328 is 2 x 2 x 2 x 41

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(22, 300) = 3300

GCD(22, 300) = ( 22 x 300 ) / 3300

GCD(22, 300) = 6600 / 3300

GCD(22, 300) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 529

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

LCM(2, 529) = 1058

GCD(2, 529) = ( 2 x 529 ) / 1058

GCD(2, 529) = 1058 / 1058

GCD(2, 529) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 328

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

LCM(1, 328) = 328

GCD(1, 328) = ( 1 x 328 ) / 328

GCD(1, 328) = 328 / 328

GCD(1, 328) = 1

GCD of 22, 300, 529, 328 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 748, 919, 404
• GCD of 69, 477, 903, 250
• GCD of 57, 320, 790, 468
• GCD of 18, 562, 676, 433
• GCD of 53, 273, 352, 545

1. What is the GCD of 22, 300, 529, 328?

GCD of 22, 300, 529, 328 is 1

2. Where do I get the detailed procedure to find GCD of 22, 300, 529, 328?

You can find a detailed procedure to find GCD of 22, 300, 529, 328 on our page.

3. How to find GCD of 22, 300, 529, 328 on a calculator?

You can find the GCD of 22, 300, 529, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.