GCD of 216, 141, 21, 788 Calculator

Given Input numbers are 216, 141, 21, 788

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 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Greatest Common Divisior

We found the divisors of 216, 141, 21, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 141, 21, 788 is 1.

Therefore, GCD of numbers 216, 141, 21, 788 is 1

Given Input Data is 216, 141, 21, 788

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 141 is 3 x 47

Prime Factorization of 21 is 3 x 7

Prime Factorization of 788 is 2 x 2 x 197

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(216, 141) = 10152

GCD(216, 141) = ( 216 x 141 ) / 10152

GCD(216, 141) = 30456 / 10152

GCD(216, 141) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 21

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

LCM(3, 21) = 21

GCD(3, 21) = ( 3 x 21 ) / 21

GCD(3, 21) = 63 / 21

GCD(3, 21) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 788

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

LCM(3, 788) = 2364

GCD(3, 788) = ( 3 x 788 ) / 2364

GCD(3, 788) = 2364 / 2364

GCD(3, 788) = 1

GCD of 216, 141, 21, 788 is 1

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1. What is the GCD of 216, 141, 21, 788?

GCD of 216, 141, 21, 788 is 1

2. Where do I get the detailed procedure to find GCD of 216, 141, 21, 788?

You can find a detailed procedure to find GCD of 216, 141, 21, 788 on our page.

3. How to find GCD of 216, 141, 21, 788 on a calculator?

You can find the GCD of 216, 141, 21, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.