GCD of 106, 514, 990, 436 Calculator

Given Input numbers are 106, 514, 990, 436

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

Divisors of 106

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

1, 2, 53, 106

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

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 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Greatest Common Divisior

We found the divisors of 106, 514, 990, 436 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 514, 990, 436 is 2.

Therefore, GCD of numbers 106, 514, 990, 436 is 2

Given Input Data is 106, 514, 990, 436

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 514 is 2 x 257

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

Prime Factorization of 436 is 2 x 2 x 109

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(106, 514) = 27242

GCD(106, 514) = ( 106 x 514 ) / 27242

GCD(106, 514) = 54484 / 27242

GCD(106, 514) = 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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 436

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

LCM(2, 436) = 436

GCD(2, 436) = ( 2 x 436 ) / 436

GCD(2, 436) = 872 / 436

GCD(2, 436) = 2

GCD of 106, 514, 990, 436 is 2

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1. What is the GCD of 106, 514, 990, 436?

GCD of 106, 514, 990, 436 is 2

2. Where do I get the detailed procedure to find GCD of 106, 514, 990, 436?

You can find a detailed procedure to find GCD of 106, 514, 990, 436 on our page.

3. How to find GCD of 106, 514, 990, 436 on a calculator?

You can find the GCD of 106, 514, 990, 436 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.