GCD of 789, 825, 990 Calculator

Given Input numbers are 789, 825, 990

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 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 789, 825, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 825, 990 is 3.

Therefore, GCD of numbers 789, 825, 990 is 3

Given Input Data is 789, 825, 990

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

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, 825) = 216975

GCD(789, 825) = ( 789 x 825 ) / 216975

GCD(789, 825) = 650925 / 216975

GCD(789, 825) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 990

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

LCM(3, 990) = 990

GCD(3, 990) = ( 3 x 990 ) / 990

GCD(3, 990) = 2970 / 990

GCD(3, 990) = 3

GCD of 789, 825, 990 is 3

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• GCD of 230, 508, 504
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1. What is the GCD of 789, 825, 990?

GCD of 789, 825, 990 is 3

2. Where do I get the detailed procedure to find GCD of 789, 825, 990?

You can find a detailed procedure to find GCD of 789, 825, 990 on our page.

3. How to find GCD of 789, 825, 990 on a calculator?

You can find the GCD of 789, 825, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.