GCD of 639, 789, 609 Calculator

Given Input numbers are 639, 789, 609

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

Divisors of 639

List of positive integer divisors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 609

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

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

Greatest Common Divisior

We found the divisors of 639, 789, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 639, 789, 609 is 3.

Therefore, GCD of numbers 639, 789, 609 is 3

Given Input Data is 639, 789, 609

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

Prime Factorization of 639 is 3 x 3 x 71

Prime Factorization of 789 is 3 x 263

Prime Factorization of 609 is 3 x 7 x 29

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(639, 789) = 168057

GCD(639, 789) = ( 639 x 789 ) / 168057

GCD(639, 789) = 504171 / 168057

GCD(639, 789) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 609

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

LCM(3, 609) = 609

GCD(3, 609) = ( 3 x 609 ) / 609

GCD(3, 609) = 1827 / 609

GCD(3, 609) = 3

GCD of 639, 789, 609 is 3

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1. What is the GCD of 639, 789, 609?

GCD of 639, 789, 609 is 3

2. Where do I get the detailed procedure to find GCD of 639, 789, 609?

You can find a detailed procedure to find GCD of 639, 789, 609 on our page.

3. How to find GCD of 639, 789, 609 on a calculator?

You can find the GCD of 639, 789, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.