GCD of 18, 344, 967, 990 Calculator

Given Input numbers are 18, 344, 967, 990

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

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 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

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 18, 344, 967, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 344, 967, 990 is 1.

Therefore, GCD of numbers 18, 344, 967, 990 is 1

Given Input Data is 18, 344, 967, 990

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 967 is 967

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(18, 344) = 3096

GCD(18, 344) = ( 18 x 344 ) / 3096

GCD(18, 344) = 6192 / 3096

GCD(18, 344) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 967

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

LCM(2, 967) = 1934

GCD(2, 967) = ( 2 x 967 ) / 1934

GCD(2, 967) = 1934 / 1934

GCD(2, 967) = 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 18, 344, 967, 990 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 618, 521, 390
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• GCD of 50, 517, 596, 169
• GCD of 54, 750, 644, 641
• GCD of 75, 728, 855, 272

1. What is the GCD of 18, 344, 967, 990?

GCD of 18, 344, 967, 990 is 1

2. Where do I get the detailed procedure to find GCD of 18, 344, 967, 990?

You can find a detailed procedure to find GCD of 18, 344, 967, 990 on our page.

3. How to find GCD of 18, 344, 967, 990 on a calculator?

You can find the GCD of 18, 344, 967, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.