GCD of 164, 800, 639, 404 Calculator

Given Input numbers are 164, 800, 639, 404

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

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 639

List of positive integer divisors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 164, 800, 639, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 800, 639, 404 is 1.

Therefore, GCD of numbers 164, 800, 639, 404 is 1

Given Input Data is 164, 800, 639, 404

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 639 is 3 x 3 x 71

Prime Factorization of 404 is 2 x 2 x 101

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(164, 800) = 32800

GCD(164, 800) = ( 164 x 800 ) / 32800

GCD(164, 800) = 131200 / 32800

GCD(164, 800) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 639

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

LCM(4, 639) = 2556

GCD(4, 639) = ( 4 x 639 ) / 2556

GCD(4, 639) = 2556 / 2556

GCD(4, 639) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 404

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

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

GCD(1, 404) = 404 / 404

GCD(1, 404) = 1

GCD of 164, 800, 639, 404 is 1

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1. What is the GCD of 164, 800, 639, 404?

GCD of 164, 800, 639, 404 is 1

2. Where do I get the detailed procedure to find GCD of 164, 800, 639, 404?

You can find a detailed procedure to find GCD of 164, 800, 639, 404 on our page.

3. How to find GCD of 164, 800, 639, 404 on a calculator?

You can find the GCD of 164, 800, 639, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.