GCD of 789, 627, 807 Calculator

Given Input numbers are 789, 627, 807

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

Divisors of 789

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

1, 3, 263, 789

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Greatest Common Divisior

We found the divisors of 789, 627, 807 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 627, 807 is 3.

Therefore, GCD of numbers 789, 627, 807 is 3

Given Input Data is 789, 627, 807

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 807 is 3 x 269

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(789, 627) = 164901

GCD(789, 627) = ( 789 x 627 ) / 164901

GCD(789, 627) = 494703 / 164901

GCD(789, 627) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 807

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

LCM(3, 807) = 807

GCD(3, 807) = ( 3 x 807 ) / 807

GCD(3, 807) = 2421 / 807

GCD(3, 807) = 3

GCD of 789, 627, 807 is 3

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1. What is the GCD of 789, 627, 807?

GCD of 789, 627, 807 is 3

2. Where do I get the detailed procedure to find GCD of 789, 627, 807?

You can find a detailed procedure to find GCD of 789, 627, 807 on our page.

3. How to find GCD of 789, 627, 807 on a calculator?

You can find the GCD of 789, 627, 807 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.