GCD of 109, 990, 83, 108 Calculator

Given Input numbers are 109, 990, 83, 108

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

Divisors of 109

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

1, 109

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 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 109, 990, 83, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 990, 83, 108 is 1.

Therefore, GCD of numbers 109, 990, 83, 108 is 1

Given Input Data is 109, 990, 83, 108

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

Prime Factorization of 109 is 109

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

Prime Factorization of 83 is 83

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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(109, 990) = 107910

GCD(109, 990) = ( 109 x 990 ) / 107910

GCD(109, 990) = 107910 / 107910

GCD(109, 990) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 109, 990, 83, 108 is 1

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• GCD of 681, 674, 39, 307
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1. What is the GCD of 109, 990, 83, 108?

GCD of 109, 990, 83, 108 is 1

2. Where do I get the detailed procedure to find GCD of 109, 990, 83, 108?

You can find a detailed procedure to find GCD of 109, 990, 83, 108 on our page.

3. How to find GCD of 109, 990, 83, 108 on a calculator?

You can find the GCD of 109, 990, 83, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.