GCD of 129, 200, 800, 558 Calculator

Given Input numbers are 129, 200, 800, 558

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

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

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 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Greatest Common Divisior

We found the divisors of 129, 200, 800, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 129, 200, 800, 558 is 1.

Therefore, GCD of numbers 129, 200, 800, 558 is 1

Given Input Data is 129, 200, 800, 558

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

Prime Factorization of 129 is 3 x 43

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

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

Prime Factorization of 558 is 2 x 3 x 3 x 31

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(129, 200) = 25800

GCD(129, 200) = ( 129 x 200 ) / 25800

GCD(129, 200) = 25800 / 25800

GCD(129, 200) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 1

GCD of 129, 200, 800, 558 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 253, 686, 137
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1. What is the GCD of 129, 200, 800, 558?

GCD of 129, 200, 800, 558 is 1

2. Where do I get the detailed procedure to find GCD of 129, 200, 800, 558?

You can find a detailed procedure to find GCD of 129, 200, 800, 558 on our page.

3. How to find GCD of 129, 200, 800, 558 on a calculator?

You can find the GCD of 129, 200, 800, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.