GCD of 656, 106, 990 Calculator

Given Input numbers are 656, 106, 990

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

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

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 656, 106, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 106, 990 is 2.

Therefore, GCD of numbers 656, 106, 990 is 2

Given Input Data is 656, 106, 990

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

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 106 is 2 x 53

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(656, 106) = 34768

GCD(656, 106) = ( 656 x 106 ) / 34768

GCD(656, 106) = 69536 / 34768

GCD(656, 106) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 990

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

LCM(2, 990) = 990

GCD(2, 990) = ( 2 x 990 ) / 990

GCD(2, 990) = 1980 / 990

GCD(2, 990) = 2

GCD of 656, 106, 990 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 543, 632, 823
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• GCD of 604, 184, 988
• GCD of 959, 790, 554
• GCD of 520, 703, 316

1. What is the GCD of 656, 106, 990?

GCD of 656, 106, 990 is 2

2. Where do I get the detailed procedure to find GCD of 656, 106, 990?

You can find a detailed procedure to find GCD of 656, 106, 990 on our page.

3. How to find GCD of 656, 106, 990 on a calculator?

You can find the GCD of 656, 106, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.