GCD of 22, 216, 141, 488 Calculator

Given Input numbers are 22, 216, 141, 488

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

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

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 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Greatest Common Divisior

We found the divisors of 22, 216, 141, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 216, 141, 488 is 1.

Therefore, GCD of numbers 22, 216, 141, 488 is 1

Given Input Data is 22, 216, 141, 488

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

Prime Factorization of 22 is 2 x 11

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 488 is 2 x 2 x 2 x 61

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(22, 216) = 2376

GCD(22, 216) = ( 22 x 216 ) / 2376

GCD(22, 216) = 4752 / 2376

GCD(22, 216) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 141

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

LCM(2, 141) = 282

GCD(2, 141) = ( 2 x 141 ) / 282

GCD(2, 141) = 282 / 282

GCD(2, 141) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 488

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

LCM(1, 488) = 488

GCD(1, 488) = ( 1 x 488 ) / 488

GCD(1, 488) = 488 / 488

GCD(1, 488) = 1

GCD of 22, 216, 141, 488 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 99, 752, 816, 984
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• GCD of 80, 549, 360, 455

1. What is the GCD of 22, 216, 141, 488?

GCD of 22, 216, 141, 488 is 1

2. Where do I get the detailed procedure to find GCD of 22, 216, 141, 488?

You can find a detailed procedure to find GCD of 22, 216, 141, 488 on our page.

3. How to find GCD of 22, 216, 141, 488 on a calculator?

You can find the GCD of 22, 216, 141, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.