GCD of 500, 109, 89, 990 Calculator

Given Input numbers are 500, 109, 89, 990

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

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 500, 109, 89, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 109, 89, 990 is 1.

Therefore, GCD of numbers 500, 109, 89, 990 is 1

Given Input Data is 500, 109, 89, 990

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 109 is 109

Prime Factorization of 89 is 89

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

The above numbers do not have any common prime factor. So GCD is 1

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(500, 109) = 54500

GCD(500, 109) = ( 500 x 109 ) / 54500

GCD(500, 109) = 54500 / 54500

GCD(500, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

GCD of 500, 109, 89, 990 is 1

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• GCD of 323, 244, 44, 295
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1. What is the GCD of 500, 109, 89, 990?

GCD of 500, 109, 89, 990 is 1

2. Where do I get the detailed procedure to find GCD of 500, 109, 89, 990?

You can find a detailed procedure to find GCD of 500, 109, 89, 990 on our page.

3. How to find GCD of 500, 109, 89, 990 on a calculator?

You can find the GCD of 500, 109, 89, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.