GCD of 855, 790, 990 Calculator

Given Input numbers are 855, 790, 990

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

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

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 855, 790, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 790, 990 is 5.

Therefore, GCD of numbers 855, 790, 990 is 5

Given Input Data is 855, 790, 990

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

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 790 is 2 x 5 x 79

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

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(855, 790) = 135090

GCD(855, 790) = ( 855 x 790 ) / 135090

GCD(855, 790) = 675450 / 135090

GCD(855, 790) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 990

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

LCM(5, 990) = 990

GCD(5, 990) = ( 5 x 990 ) / 990

GCD(5, 990) = 4950 / 990

GCD(5, 990) = 5

GCD of 855, 790, 990 is 5

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1. What is the GCD of 855, 790, 990?

GCD of 855, 790, 990 is 5

2. Where do I get the detailed procedure to find GCD of 855, 790, 990?

You can find a detailed procedure to find GCD of 855, 790, 990 on our page.

3. How to find GCD of 855, 790, 990 on a calculator?

You can find the GCD of 855, 790, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.