GCD of 216, 828, 234, 471 Calculator

Given Input numbers are 216, 828, 234, 471

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

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 471

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

1, 3, 157, 471

Greatest Common Divisior

We found the divisors of 216, 828, 234, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 828, 234, 471 is 3.

Therefore, GCD of numbers 216, 828, 234, 471 is 3

Given Input Data is 216, 828, 234, 471

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

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 471 is 3 x 157

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(216, 828) = 4968

GCD(216, 828) = ( 216 x 828 ) / 4968

GCD(216, 828) = 178848 / 4968

GCD(216, 828) = 36

Step2:

Here we consider the GCD from the above i.e. 36 as first number and the next as 234

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

LCM(36, 234) = 468

GCD(36, 234) = ( 36 x 234 ) / 468

GCD(36, 234) = 8424 / 468

GCD(36, 234) = 18

Step3:

Here we consider the GCD from the above i.e. 18 as first number and the next as 471

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

LCM(18, 471) = 2826

GCD(18, 471) = ( 18 x 471 ) / 2826

GCD(18, 471) = 8478 / 2826

GCD(18, 471) = 3

GCD of 216, 828, 234, 471 is 3

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1. What is the GCD of 216, 828, 234, 471?

GCD of 216, 828, 234, 471 is 3

2. Where do I get the detailed procedure to find GCD of 216, 828, 234, 471?

You can find a detailed procedure to find GCD of 216, 828, 234, 471 on our page.

3. How to find GCD of 216, 828, 234, 471 on a calculator?

You can find the GCD of 216, 828, 234, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.