GCD of 108, 228, 561, 529 Calculator

Given Input numbers are 108, 228, 561, 529

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Greatest Common Divisior

We found the divisors of 108, 228, 561, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 228, 561, 529 is 1.

Therefore, GCD of numbers 108, 228, 561, 529 is 1

Given Input Data is 108, 228, 561, 529

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 529 is 23 x 23

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(108, 228) = 2052

GCD(108, 228) = ( 108 x 228 ) / 2052

GCD(108, 228) = 24624 / 2052

GCD(108, 228) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 561

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

LCM(12, 561) = 2244

GCD(12, 561) = ( 12 x 561 ) / 2244

GCD(12, 561) = 6732 / 2244

GCD(12, 561) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 529

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

LCM(3, 529) = 1587

GCD(3, 529) = ( 3 x 529 ) / 1587

GCD(3, 529) = 1587 / 1587

GCD(3, 529) = 1

GCD of 108, 228, 561, 529 is 1

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• GCD of 982, 847, 563, 397
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1. What is the GCD of 108, 228, 561, 529?

GCD of 108, 228, 561, 529 is 1

2. Where do I get the detailed procedure to find GCD of 108, 228, 561, 529?

You can find a detailed procedure to find GCD of 108, 228, 561, 529 on our page.

3. How to find GCD of 108, 228, 561, 529 on a calculator?

You can find the GCD of 108, 228, 561, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.