GCD of 189, 633, 554 Calculator

Given Input numbers are 189, 633, 554

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

Divisors of 189

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

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

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Greatest Common Divisior

We found the divisors of 189, 633, 554 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 633, 554 is 1.

Therefore, GCD of numbers 189, 633, 554 is 1

Given Input Data is 189, 633, 554

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

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

Prime Factorization of 633 is 3 x 211

Prime Factorization of 554 is 2 x 277

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(189, 633) = 39879

GCD(189, 633) = ( 189 x 633 ) / 39879

GCD(189, 633) = 119637 / 39879

GCD(189, 633) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 554

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

LCM(3, 554) = 1662

GCD(3, 554) = ( 3 x 554 ) / 1662

GCD(3, 554) = 1662 / 1662

GCD(3, 554) = 1

GCD of 189, 633, 554 is 1

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1. What is the GCD of 189, 633, 554?

GCD of 189, 633, 554 is 1

2. Where do I get the detailed procedure to find GCD of 189, 633, 554?

You can find a detailed procedure to find GCD of 189, 633, 554 on our page.

3. How to find GCD of 189, 633, 554 on a calculator?

You can find the GCD of 189, 633, 554 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.