GCD of 243, 558, 159, 121 Calculator

Given Input numbers are 243, 558, 159, 121

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

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Greatest Common Divisior

We found the divisors of 243, 558, 159, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 558, 159, 121 is 1.

Therefore, GCD of numbers 243, 558, 159, 121 is 1

Given Input Data is 243, 558, 159, 121

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

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 159 is 3 x 53

Prime Factorization of 121 is 11 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(243, 558) = 15066

GCD(243, 558) = ( 243 x 558 ) / 15066

GCD(243, 558) = 135594 / 15066

GCD(243, 558) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 159

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

LCM(9, 159) = 477

GCD(9, 159) = ( 9 x 159 ) / 477

GCD(9, 159) = 1431 / 477

GCD(9, 159) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 121

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

LCM(3, 121) = 363

GCD(3, 121) = ( 3 x 121 ) / 363

GCD(3, 121) = 363 / 363

GCD(3, 121) = 1

GCD of 243, 558, 159, 121 is 1

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1. What is the GCD of 243, 558, 159, 121?

GCD of 243, 558, 159, 121 is 1

2. Where do I get the detailed procedure to find GCD of 243, 558, 159, 121?

You can find a detailed procedure to find GCD of 243, 558, 159, 121 on our page.

3. How to find GCD of 243, 558, 159, 121 on a calculator?

You can find the GCD of 243, 558, 159, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.