GCD of 561, 981, 18, 173 Calculator

Given Input numbers are 561, 981, 18, 173

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

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Greatest Common Divisior

We found the divisors of 561, 981, 18, 173 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 981, 18, 173 is 1.

Therefore, GCD of numbers 561, 981, 18, 173 is 1

Given Input Data is 561, 981, 18, 173

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

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 173 is 173

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(561, 981) = 183447

GCD(561, 981) = ( 561 x 981 ) / 183447

GCD(561, 981) = 550341 / 183447

GCD(561, 981) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 18

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

LCM(3, 18) = 18

GCD(3, 18) = ( 3 x 18 ) / 18

GCD(3, 18) = 54 / 18

GCD(3, 18) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 173

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

LCM(3, 173) = 519

GCD(3, 173) = ( 3 x 173 ) / 519

GCD(3, 173) = 519 / 519

GCD(3, 173) = 1

GCD of 561, 981, 18, 173 is 1

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1. What is the GCD of 561, 981, 18, 173?

GCD of 561, 981, 18, 173 is 1

2. Where do I get the detailed procedure to find GCD of 561, 981, 18, 173?

You can find a detailed procedure to find GCD of 561, 981, 18, 173 on our page.

3. How to find GCD of 561, 981, 18, 173 on a calculator?

You can find the GCD of 561, 981, 18, 173 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.