GCD of 646, 452, 189 Calculator

Given Input numbers are 646, 452, 189

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

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

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 646, 452, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 646, 452, 189 is 1.

Therefore, GCD of numbers 646, 452, 189 is 1

Given Input Data is 646, 452, 189

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

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 452 is 2 x 2 x 113

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(646, 452) = 145996

GCD(646, 452) = ( 646 x 452 ) / 145996

GCD(646, 452) = 291992 / 145996

GCD(646, 452) = 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 646, 452, 189 is 1

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1. What is the GCD of 646, 452, 189?

GCD of 646, 452, 189 is 1

2. Where do I get the detailed procedure to find GCD of 646, 452, 189?

You can find a detailed procedure to find GCD of 646, 452, 189 on our page.

3. How to find GCD of 646, 452, 189 on a calculator?

You can find the GCD of 646, 452, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.