GCD of 521, 205, 497, 822 Calculator

Given Input numbers are 521, 205, 497, 822

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

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Greatest Common Divisior

We found the divisors of 521, 205, 497, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 521, 205, 497, 822 is 1.

Therefore, GCD of numbers 521, 205, 497, 822 is 1

Given Input Data is 521, 205, 497, 822

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

Prime Factorization of 521 is 521

Prime Factorization of 205 is 5 x 41

Prime Factorization of 497 is 7 x 71

Prime Factorization of 822 is 2 x 3 x 137

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(521, 205) = 106805

GCD(521, 205) = ( 521 x 205 ) / 106805

GCD(521, 205) = 106805 / 106805

GCD(521, 205) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 497

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

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

GCD(1, 497) = 497 / 497

GCD(1, 497) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

GCD of 521, 205, 497, 822 is 1

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1. What is the GCD of 521, 205, 497, 822?

GCD of 521, 205, 497, 822 is 1

2. Where do I get the detailed procedure to find GCD of 521, 205, 497, 822?

You can find a detailed procedure to find GCD of 521, 205, 497, 822 on our page.

3. How to find GCD of 521, 205, 497, 822 on a calculator?

You can find the GCD of 521, 205, 497, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.