GCD of 990, 344, 81, 122 Calculator

Given Input numbers are 990, 344, 81, 122

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 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Greatest Common Divisior

We found the divisors of 990, 344, 81, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 344, 81, 122 is 1.

Therefore, GCD of numbers 990, 344, 81, 122 is 1

Given Input Data is 990, 344, 81, 122

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 344 is 2 x 2 x 2 x 43

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 122 is 2 x 61

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(990, 344) = 170280

GCD(990, 344) = ( 990 x 344 ) / 170280

GCD(990, 344) = 340560 / 170280

GCD(990, 344) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 81

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

LCM(2, 81) = 162

GCD(2, 81) = ( 2 x 81 ) / 162

GCD(2, 81) = 162 / 162

GCD(2, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 122

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

LCM(1, 122) = 122

GCD(1, 122) = ( 1 x 122 ) / 122

GCD(1, 122) = 122 / 122

GCD(1, 122) = 1

GCD of 990, 344, 81, 122 is 1

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• GCD of 779, 765, 75, 589
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1. What is the GCD of 990, 344, 81, 122?

GCD of 990, 344, 81, 122 is 1

2. Where do I get the detailed procedure to find GCD of 990, 344, 81, 122?

You can find a detailed procedure to find GCD of 990, 344, 81, 122 on our page.

3. How to find GCD of 990, 344, 81, 122 on a calculator?

You can find the GCD of 990, 344, 81, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.