GCD of 471, 363, 243 Calculator

Given Input numbers are 471, 363, 243

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

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

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 471, 363, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 363, 243 is 3.

Therefore, GCD of numbers 471, 363, 243 is 3

Given Input Data is 471, 363, 243

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

Prime Factorization of 471 is 3 x 157

Prime Factorization of 363 is 3 x 11 x 11

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(471, 363) = 56991

GCD(471, 363) = ( 471 x 363 ) / 56991

GCD(471, 363) = 170973 / 56991

GCD(471, 363) = 3

Step2:

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 471, 363, 243 is 3

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1. What is the GCD of 471, 363, 243?

GCD of 471, 363, 243 is 3

2. Where do I get the detailed procedure to find GCD of 471, 363, 243?

You can find a detailed procedure to find GCD of 471, 363, 243 on our page.

3. How to find GCD of 471, 363, 243 on a calculator?

You can find the GCD of 471, 363, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.