GCD of 171, 609, 788 Calculator

Given Input numbers are 171, 609, 788

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 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Greatest Common Divisior

We found the divisors of 171, 609, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 609, 788 is 1.

Therefore, GCD of numbers 171, 609, 788 is 1

Given Input Data is 171, 609, 788

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 609 is 3 x 7 x 29

Prime Factorization of 788 is 2 x 2 x 197

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, 609) = 34713

GCD(171, 609) = ( 171 x 609 ) / 34713

GCD(171, 609) = 104139 / 34713

GCD(171, 609) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 788

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

LCM(3, 788) = 2364

GCD(3, 788) = ( 3 x 788 ) / 2364

GCD(3, 788) = 2364 / 2364

GCD(3, 788) = 1

GCD of 171, 609, 788 is 1

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1. What is the GCD of 171, 609, 788?

GCD of 171, 609, 788 is 1

2. Where do I get the detailed procedure to find GCD of 171, 609, 788?

You can find a detailed procedure to find GCD of 171, 609, 788 on our page.

3. How to find GCD of 171, 609, 788 on a calculator?

You can find the GCD of 171, 609, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.