GCD of 243, 372, 42, 243 Calculator

Given Input numbers are 243, 372, 42, 243

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 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 243

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

1, 3, 9, 27, 81, 243

Greatest Common Divisior

We found the divisors of 243, 372, 42, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 372, 42, 243 is 3.

Therefore, GCD of numbers 243, 372, 42, 243 is 3

Given Input Data is 243, 372, 42, 243

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 372 is 2 x 2 x 3 x 31

Prime Factorization of 42 is 2 x 3 x 7

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 372) = 30132

GCD(243, 372) = ( 243 x 372 ) / 30132

GCD(243, 372) = 90396 / 30132

GCD(243, 372) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 42

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

LCM(3, 42) = 42

GCD(3, 42) = ( 3 x 42 ) / 42

GCD(3, 42) = 126 / 42

GCD(3, 42) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 243

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

LCM(3, 243) = 243

GCD(3, 243) = ( 3 x 243 ) / 243

GCD(3, 243) = 729 / 243

GCD(3, 243) = 3

GCD of 243, 372, 42, 243 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 596, 480, 27, 179
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• GCD of 815, 212, 43, 269

1. What is the GCD of 243, 372, 42, 243?

GCD of 243, 372, 42, 243 is 3

2. Where do I get the detailed procedure to find GCD of 243, 372, 42, 243?

You can find a detailed procedure to find GCD of 243, 372, 42, 243 on our page.

3. How to find GCD of 243, 372, 42, 243 on a calculator?

You can find the GCD of 243, 372, 42, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.