GCD of 867, 216, 20, 543 Calculator

Given Input numbers are 867, 216, 20, 543

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

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

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 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Greatest Common Divisior

We found the divisors of 867, 216, 20, 543 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 216, 20, 543 is 1.

Therefore, GCD of numbers 867, 216, 20, 543 is 1

Given Input Data is 867, 216, 20, 543

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

Prime Factorization of 867 is 3 x 17 x 17

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 543 is 3 x 181

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(867, 216) = 62424

GCD(867, 216) = ( 867 x 216 ) / 62424

GCD(867, 216) = 187272 / 62424

GCD(867, 216) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 20

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

LCM(3, 20) = 60

GCD(3, 20) = ( 3 x 20 ) / 60

GCD(3, 20) = 60 / 60

GCD(3, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 543

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

LCM(1, 543) = 543

GCD(1, 543) = ( 1 x 543 ) / 543

GCD(1, 543) = 543 / 543

GCD(1, 543) = 1

GCD of 867, 216, 20, 543 is 1

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1. What is the GCD of 867, 216, 20, 543?

GCD of 867, 216, 20, 543 is 1

2. Where do I get the detailed procedure to find GCD of 867, 216, 20, 543?

You can find a detailed procedure to find GCD of 867, 216, 20, 543 on our page.

3. How to find GCD of 867, 216, 20, 543 on a calculator?

You can find the GCD of 867, 216, 20, 543 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.