GCD of 666, 849, 990 Calculator

Given Input numbers are 666, 849, 990

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

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

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 666, 849, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 666, 849, 990 is 3.

Therefore, GCD of numbers 666, 849, 990 is 3

Given Input Data is 666, 849, 990

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

Prime Factorization of 666 is 2 x 3 x 3 x 37

Prime Factorization of 849 is 3 x 283

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(666, 849) = 188478

GCD(666, 849) = ( 666 x 849 ) / 188478

GCD(666, 849) = 565434 / 188478

GCD(666, 849) = 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 666, 849, 990 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 636, 312, 178
• GCD of 546, 636, 178
• GCD of 876, 778, 676
• GCD of 328, 800, 757
• GCD of 952, 623, 346

1. What is the GCD of 666, 849, 990?

GCD of 666, 849, 990 is 3

2. Where do I get the detailed procedure to find GCD of 666, 849, 990?

You can find a detailed procedure to find GCD of 666, 849, 990 on our page.

3. How to find GCD of 666, 849, 990 on a calculator?

You can find the GCD of 666, 849, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.