GCD of 243, 963, 23, 303 Calculator

Given Input numbers are 243, 963, 23, 303

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 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Greatest Common Divisior

We found the divisors of 243, 963, 23, 303 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 963, 23, 303 is 1.

Therefore, GCD of numbers 243, 963, 23, 303 is 1

Given Input Data is 243, 963, 23, 303

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 963 is 3 x 3 x 107

Prime Factorization of 23 is 23

Prime Factorization of 303 is 3 x 101

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, 963) = 26001

GCD(243, 963) = ( 243 x 963 ) / 26001

GCD(243, 963) = 234009 / 26001

GCD(243, 963) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 23

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

LCM(9, 23) = 207

GCD(9, 23) = ( 9 x 23 ) / 207

GCD(9, 23) = 207 / 207

GCD(9, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 303

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

LCM(1, 303) = 303

GCD(1, 303) = ( 1 x 303 ) / 303

GCD(1, 303) = 303 / 303

GCD(1, 303) = 1

GCD of 243, 963, 23, 303 is 1

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1. What is the GCD of 243, 963, 23, 303?

GCD of 243, 963, 23, 303 is 1

2. Where do I get the detailed procedure to find GCD of 243, 963, 23, 303?

You can find a detailed procedure to find GCD of 243, 963, 23, 303 on our page.

3. How to find GCD of 243, 963, 23, 303 on a calculator?

You can find the GCD of 243, 963, 23, 303 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.