GCD of 395, 808, 171, 523 Calculator

Given Input numbers are 395, 808, 171, 523

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

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Greatest Common Divisior

We found the divisors of 395, 808, 171, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 395, 808, 171, 523 is 1.

Therefore, GCD of numbers 395, 808, 171, 523 is 1

Given Input Data is 395, 808, 171, 523

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

Prime Factorization of 395 is 5 x 79

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 523 is 523

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(395, 808) = 319160

GCD(395, 808) = ( 395 x 808 ) / 319160

GCD(395, 808) = 319160 / 319160

GCD(395, 808) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 523

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

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

GCD(1, 523) = 523 / 523

GCD(1, 523) = 1

GCD of 395, 808, 171, 523 is 1

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1. What is the GCD of 395, 808, 171, 523?

GCD of 395, 808, 171, 523 is 1

2. Where do I get the detailed procedure to find GCD of 395, 808, 171, 523?

You can find a detailed procedure to find GCD of 395, 808, 171, 523 on our page.

3. How to find GCD of 395, 808, 171, 523 on a calculator?

You can find the GCD of 395, 808, 171, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.