GCD of 820, 409, 84, 423 Calculator

Given Input numbers are 820, 409, 84, 423

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 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Greatest Common Divisior

We found the divisors of 820, 409, 84, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 409, 84, 423 is 1.

Therefore, GCD of numbers 820, 409, 84, 423 is 1

Given Input Data is 820, 409, 84, 423

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 409 is 409

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 423 is 3 x 3 x 47

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, 409) = 335380

GCD(820, 409) = ( 820 x 409 ) / 335380

GCD(820, 409) = 335380 / 335380

GCD(820, 409) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 423

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

LCM(1, 423) = 423

GCD(1, 423) = ( 1 x 423 ) / 423

GCD(1, 423) = 423 / 423

GCD(1, 423) = 1

GCD of 820, 409, 84, 423 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 575, 405, 79, 669
• GCD of 573, 144, 52, 244
• GCD of 869, 223, 51, 848
• GCD of 270, 938, 22, 205
• GCD of 407, 715, 39, 550

1. What is the GCD of 820, 409, 84, 423?

GCD of 820, 409, 84, 423 is 1

2. Where do I get the detailed procedure to find GCD of 820, 409, 84, 423?

You can find a detailed procedure to find GCD of 820, 409, 84, 423 on our page.

3. How to find GCD of 820, 409, 84, 423 on a calculator?

You can find the GCD of 820, 409, 84, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.