GCD of 189, 604, 553, 458 Calculator

Given Input numbers are 189, 604, 553, 458

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 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 189, 604, 553, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 604, 553, 458 is 1.

Therefore, GCD of numbers 189, 604, 553, 458 is 1

Given Input Data is 189, 604, 553, 458

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 604 is 2 x 2 x 151

Prime Factorization of 553 is 7 x 79

Prime Factorization of 458 is 2 x 229

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, 604) = 114156

GCD(189, 604) = ( 189 x 604 ) / 114156

GCD(189, 604) = 114156 / 114156

GCD(189, 604) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 553

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

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

GCD(1, 553) = 553 / 553

GCD(1, 553) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

GCD of 189, 604, 553, 458 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 592, 573, 702, 579
• GCD of 619, 321, 428, 337
• GCD of 643, 992, 554, 961
• GCD of 235, 413, 627, 747
• GCD of 634, 981, 730, 763

1. What is the GCD of 189, 604, 553, 458?

GCD of 189, 604, 553, 458 is 1

2. Where do I get the detailed procedure to find GCD of 189, 604, 553, 458?

You can find a detailed procedure to find GCD of 189, 604, 553, 458 on our page.

3. How to find GCD of 189, 604, 553, 458 on a calculator?

You can find the GCD of 189, 604, 553, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.