GCD of 243, 381, 72, 296 Calculator

Given Input numbers are 243, 381, 72, 296

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 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 243, 381, 72, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 381, 72, 296 is 1.

Therefore, GCD of numbers 243, 381, 72, 296 is 1

Given Input Data is 243, 381, 72, 296

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 381 is 3 x 127

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 296 is 2 x 2 x 2 x 37

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, 381) = 30861

GCD(243, 381) = ( 243 x 381 ) / 30861

GCD(243, 381) = 92583 / 30861

GCD(243, 381) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 72

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

LCM(3, 72) = 72

GCD(3, 72) = ( 3 x 72 ) / 72

GCD(3, 72) = 216 / 72

GCD(3, 72) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 296

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

LCM(3, 296) = 888

GCD(3, 296) = ( 3 x 296 ) / 888

GCD(3, 296) = 888 / 888

GCD(3, 296) = 1

GCD of 243, 381, 72, 296 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 958, 955, 79, 579
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• GCD of 406, 727, 30, 759

1. What is the GCD of 243, 381, 72, 296?

GCD of 243, 381, 72, 296 is 1

2. Where do I get the detailed procedure to find GCD of 243, 381, 72, 296?

You can find a detailed procedure to find GCD of 243, 381, 72, 296 on our page.

3. How to find GCD of 243, 381, 72, 296 on a calculator?

You can find the GCD of 243, 381, 72, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.