GCD of 129, 505, 18, 856 Calculator

Given Input numbers are 129, 505, 18, 856

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 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Greatest Common Divisior

We found the divisors of 129, 505, 18, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 129, 505, 18, 856 is 1.

Therefore, GCD of numbers 129, 505, 18, 856 is 1

Given Input Data is 129, 505, 18, 856

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

Prime Factorization of 129 is 3 x 43

Prime Factorization of 505 is 5 x 101

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 856 is 2 x 2 x 2 x 107

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, 505) = 65145

GCD(129, 505) = ( 129 x 505 ) / 65145

GCD(129, 505) = 65145 / 65145

GCD(129, 505) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 856

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

LCM(1, 856) = 856

GCD(1, 856) = ( 1 x 856 ) / 856

GCD(1, 856) = 856 / 856

GCD(1, 856) = 1

GCD of 129, 505, 18, 856 is 1

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1. What is the GCD of 129, 505, 18, 856?

GCD of 129, 505, 18, 856 is 1

2. Where do I get the detailed procedure to find GCD of 129, 505, 18, 856?

You can find a detailed procedure to find GCD of 129, 505, 18, 856 on our page.

3. How to find GCD of 129, 505, 18, 856 on a calculator?

You can find the GCD of 129, 505, 18, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.