GCD of 820, 909, 75, 330 Calculator

Given Input numbers are 820, 909, 75, 330

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Greatest Common Divisior

We found the divisors of 820, 909, 75, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 909, 75, 330 is 1.

Therefore, GCD of numbers 820, 909, 75, 330 is 1

Given Input Data is 820, 909, 75, 330

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 330 is 2 x 3 x 5 x 11

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(820, 909) = 745380

GCD(820, 909) = ( 820 x 909 ) / 745380

GCD(820, 909) = 745380 / 745380

GCD(820, 909) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 330

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

LCM(1, 330) = 330

GCD(1, 330) = ( 1 x 330 ) / 330

GCD(1, 330) = 330 / 330

GCD(1, 330) = 1

GCD of 820, 909, 75, 330 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 717, 451, 27, 500
• GCD of 244, 763, 39, 357
• GCD of 317, 686, 17, 397
• GCD of 798, 214, 17, 418
• GCD of 516, 602, 20, 654

1. What is the GCD of 820, 909, 75, 330?

GCD of 820, 909, 75, 330 is 1

2. Where do I get the detailed procedure to find GCD of 820, 909, 75, 330?

You can find a detailed procedure to find GCD of 820, 909, 75, 330 on our page.

3. How to find GCD of 820, 909, 75, 330 on a calculator?

You can find the GCD of 820, 909, 75, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.