GCD of 204, 453, 29, 163 Calculator

Given Input numbers are 204, 453, 29, 163

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

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 163

List of positive integer divisors of 163 that divides 163 without a remainder.

1, 163

Greatest Common Divisior

We found the divisors of 204, 453, 29, 163 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 453, 29, 163 is 1.

Therefore, GCD of numbers 204, 453, 29, 163 is 1

Given Input Data is 204, 453, 29, 163

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

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 453 is 3 x 151

Prime Factorization of 29 is 29

Prime Factorization of 163 is 163

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(204, 453) = 30804

GCD(204, 453) = ( 204 x 453 ) / 30804

GCD(204, 453) = 92412 / 30804

GCD(204, 453) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 29

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

LCM(3, 29) = 87

GCD(3, 29) = ( 3 x 29 ) / 87

GCD(3, 29) = 87 / 87

GCD(3, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 163

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

LCM(1, 163) = 163

GCD(1, 163) = ( 1 x 163 ) / 163

GCD(1, 163) = 163 / 163

GCD(1, 163) = 1

GCD of 204, 453, 29, 163 is 1

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1. What is the GCD of 204, 453, 29, 163?

GCD of 204, 453, 29, 163 is 1

2. Where do I get the detailed procedure to find GCD of 204, 453, 29, 163?

You can find a detailed procedure to find GCD of 204, 453, 29, 163 on our page.

3. How to find GCD of 204, 453, 29, 163 on a calculator?

You can find the GCD of 204, 453, 29, 163 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.