GCD of 990, 806, 14, 524 Calculator

Given Input numbers are 990, 806, 14, 524

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

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

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Greatest Common Divisior

We found the divisors of 990, 806, 14, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 806, 14, 524 is 2.

Therefore, GCD of numbers 990, 806, 14, 524 is 2

Given Input Data is 990, 806, 14, 524

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

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

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 14 is 2 x 7

Prime Factorization of 524 is 2 x 2 x 131

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(990, 806) = 398970

GCD(990, 806) = ( 990 x 806 ) / 398970

GCD(990, 806) = 797940 / 398970

GCD(990, 806) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 524

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

LCM(2, 524) = 524

GCD(2, 524) = ( 2 x 524 ) / 524

GCD(2, 524) = 1048 / 524

GCD(2, 524) = 2

GCD of 990, 806, 14, 524 is 2

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1. What is the GCD of 990, 806, 14, 524?

GCD of 990, 806, 14, 524 is 2

2. Where do I get the detailed procedure to find GCD of 990, 806, 14, 524?

You can find a detailed procedure to find GCD of 990, 806, 14, 524 on our page.

3. How to find GCD of 990, 806, 14, 524 on a calculator?

You can find the GCD of 990, 806, 14, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.