GCD of 219, 522, 27, 143 Calculator

Given Input numbers are 219, 522, 27, 143

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

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 143

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

1, 11, 13, 143

Greatest Common Divisior

We found the divisors of 219, 522, 27, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 219, 522, 27, 143 is 1.

Therefore, GCD of numbers 219, 522, 27, 143 is 1

Given Input Data is 219, 522, 27, 143

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

Prime Factorization of 219 is 3 x 73

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 143 is 11 x 13

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(219, 522) = 38106

GCD(219, 522) = ( 219 x 522 ) / 38106

GCD(219, 522) = 114318 / 38106

GCD(219, 522) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 27

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

LCM(3, 27) = 27

GCD(3, 27) = ( 3 x 27 ) / 27

GCD(3, 27) = 81 / 27

GCD(3, 27) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 143

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

LCM(3, 143) = 429

GCD(3, 143) = ( 3 x 143 ) / 429

GCD(3, 143) = 429 / 429

GCD(3, 143) = 1

GCD of 219, 522, 27, 143 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 554, 431, 70, 469
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• GCD of 775, 520, 51, 728
• GCD of 177, 581, 65, 461

1. What is the GCD of 219, 522, 27, 143?

GCD of 219, 522, 27, 143 is 1

2. Where do I get the detailed procedure to find GCD of 219, 522, 27, 143?

You can find a detailed procedure to find GCD of 219, 522, 27, 143 on our page.

3. How to find GCD of 219, 522, 27, 143 on a calculator?

You can find the GCD of 219, 522, 27, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.