GCD of 820, 499, 407, 533 Calculator

Given Input numbers are 820, 499, 407, 533

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 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Greatest Common Divisior

We found the divisors of 820, 499, 407, 533 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 499, 407, 533 is 1.

Therefore, GCD of numbers 820, 499, 407, 533 is 1

Given Input Data is 820, 499, 407, 533

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 499 is 499

Prime Factorization of 407 is 11 x 37

Prime Factorization of 533 is 13 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(820, 499) = 409180

GCD(820, 499) = ( 820 x 499 ) / 409180

GCD(820, 499) = 409180 / 409180

GCD(820, 499) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 407

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

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

GCD(1, 407) = 407 / 407

GCD(1, 407) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 533

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

LCM(1, 533) = 533

GCD(1, 533) = ( 1 x 533 ) / 533

GCD(1, 533) = 533 / 533

GCD(1, 533) = 1

GCD of 820, 499, 407, 533 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 884, 979, 960, 721
• GCD of 864, 978, 259, 839
• GCD of 794, 338, 732, 195
• GCD of 520, 936, 827, 644
• GCD of 497, 699, 454, 375

1. What is the GCD of 820, 499, 407, 533?

GCD of 820, 499, 407, 533 is 1

2. Where do I get the detailed procedure to find GCD of 820, 499, 407, 533?

You can find a detailed procedure to find GCD of 820, 499, 407, 533 on our page.

3. How to find GCD of 820, 499, 407, 533 on a calculator?

You can find the GCD of 820, 499, 407, 533 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.