GCD of 228, 721, 89, 232 Calculator

Given Input numbers are 228, 721, 89, 232

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

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 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Greatest Common Divisior

We found the divisors of 228, 721, 89, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 721, 89, 232 is 1.

Therefore, GCD of numbers 228, 721, 89, 232 is 1

Given Input Data is 228, 721, 89, 232

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

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

Prime Factorization of 721 is 7 x 103

Prime Factorization of 89 is 89

Prime Factorization of 232 is 2 x 2 x 2 x 29

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(228, 721) = 164388

GCD(228, 721) = ( 228 x 721 ) / 164388

GCD(228, 721) = 164388 / 164388

GCD(228, 721) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 232

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

LCM(1, 232) = 232

GCD(1, 232) = ( 1 x 232 ) / 232

GCD(1, 232) = 232 / 232

GCD(1, 232) = 1

GCD of 228, 721, 89, 232 is 1

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1. What is the GCD of 228, 721, 89, 232?

GCD of 228, 721, 89, 232 is 1

2. Where do I get the detailed procedure to find GCD of 228, 721, 89, 232?

You can find a detailed procedure to find GCD of 228, 721, 89, 232 on our page.

3. How to find GCD of 228, 721, 89, 232 on a calculator?

You can find the GCD of 228, 721, 89, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.