GCD of 898, 228, 189 Calculator

Given Input numbers are 898, 228, 189

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

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

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 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Greatest Common Divisior

We found the divisors of 898, 228, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 228, 189 is 1.

Therefore, GCD of numbers 898, 228, 189 is 1

Given Input Data is 898, 228, 189

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

Prime Factorization of 898 is 2 x 449

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

Prime Factorization of 189 is 3 x 3 x 3 x 7

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(898, 228) = 102372

GCD(898, 228) = ( 898 x 228 ) / 102372

GCD(898, 228) = 204744 / 102372

GCD(898, 228) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 189

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

LCM(2, 189) = 378

GCD(2, 189) = ( 2 x 189 ) / 378

GCD(2, 189) = 378 / 378

GCD(2, 189) = 1

GCD of 898, 228, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 466, 125, 373
• GCD of 753, 567, 567
• GCD of 868, 214, 586
• GCD of 641, 277, 606
• GCD of 289, 991, 546

1. What is the GCD of 898, 228, 189?

GCD of 898, 228, 189 is 1

2. Where do I get the detailed procedure to find GCD of 898, 228, 189?

You can find a detailed procedure to find GCD of 898, 228, 189 on our page.

3. How to find GCD of 898, 228, 189 on a calculator?

You can find the GCD of 898, 228, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.