GCD of 222, 284, 143, 418 Calculator

Given Input numbers are 222, 284, 143, 418

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

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Greatest Common Divisior

We found the divisors of 222, 284, 143, 418 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 222, 284, 143, 418 is 1.

Therefore, GCD of numbers 222, 284, 143, 418 is 1

Given Input Data is 222, 284, 143, 418

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

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 143 is 11 x 13

Prime Factorization of 418 is 2 x 11 x 19

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(222, 284) = 31524

GCD(222, 284) = ( 222 x 284 ) / 31524

GCD(222, 284) = 63048 / 31524

GCD(222, 284) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 143

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

LCM(2, 143) = 286

GCD(2, 143) = ( 2 x 143 ) / 286

GCD(2, 143) = 286 / 286

GCD(2, 143) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 418

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

LCM(1, 418) = 418

GCD(1, 418) = ( 1 x 418 ) / 418

GCD(1, 418) = 418 / 418

GCD(1, 418) = 1

GCD of 222, 284, 143, 418 is 1

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1. What is the GCD of 222, 284, 143, 418?

GCD of 222, 284, 143, 418 is 1

2. Where do I get the detailed procedure to find GCD of 222, 284, 143, 418?

You can find a detailed procedure to find GCD of 222, 284, 143, 418 on our page.

3. How to find GCD of 222, 284, 143, 418 on a calculator?

You can find the GCD of 222, 284, 143, 418 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.