GCD of 216, 642, 381, 321 Calculator

Given Input numbers are 216, 642, 381, 321

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 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 381

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

1, 3, 127, 381

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 216, 642, 381, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 642, 381, 321 is 3.

Therefore, GCD of numbers 216, 642, 381, 321 is 3

Given Input Data is 216, 642, 381, 321

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 642 is 2 x 3 x 107

Prime Factorization of 381 is 3 x 127

Prime Factorization of 321 is 3 x 107

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, 642) = 23112

GCD(216, 642) = ( 216 x 642 ) / 23112

GCD(216, 642) = 138672 / 23112

GCD(216, 642) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 381

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

LCM(6, 381) = 762

GCD(6, 381) = ( 6 x 381 ) / 762

GCD(6, 381) = 2286 / 762

GCD(6, 381) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 321

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

LCM(3, 321) = 321

GCD(3, 321) = ( 3 x 321 ) / 321

GCD(3, 321) = 963 / 321

GCD(3, 321) = 3

GCD of 216, 642, 381, 321 is 3

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1. What is the GCD of 216, 642, 381, 321?

GCD of 216, 642, 381, 321 is 3

2. Where do I get the detailed procedure to find GCD of 216, 642, 381, 321?

You can find a detailed procedure to find GCD of 216, 642, 381, 321 on our page.

3. How to find GCD of 216, 642, 381, 321 on a calculator?

You can find the GCD of 216, 642, 381, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.