GCD of 171, 879, 216, 808 Calculator

Given Input numbers are 171, 879, 216, 808

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

Divisors of 171

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

1, 3, 9, 19, 57, 171

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 808

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

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

Greatest Common Divisior

We found the divisors of 171, 879, 216, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 879, 216, 808 is 1.

Therefore, GCD of numbers 171, 879, 216, 808 is 1

Given Input Data is 171, 879, 216, 808

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 879 is 3 x 293

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

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

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(171, 879) = 50103

GCD(171, 879) = ( 171 x 879 ) / 50103

GCD(171, 879) = 150309 / 50103

GCD(171, 879) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 216

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

LCM(3, 216) = 216

GCD(3, 216) = ( 3 x 216 ) / 216

GCD(3, 216) = 648 / 216

GCD(3, 216) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 808

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

LCM(3, 808) = 2424

GCD(3, 808) = ( 3 x 808 ) / 2424

GCD(3, 808) = 2424 / 2424

GCD(3, 808) = 1

GCD of 171, 879, 216, 808 is 1

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1. What is the GCD of 171, 879, 216, 808?

GCD of 171, 879, 216, 808 is 1

2. Where do I get the detailed procedure to find GCD of 171, 879, 216, 808?

You can find a detailed procedure to find GCD of 171, 879, 216, 808 on our page.

3. How to find GCD of 171, 879, 216, 808 on a calculator?

You can find the GCD of 171, 879, 216, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.