GCD of 209, 185, 129 Calculator

Given Input numbers are 209, 185, 129

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

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 129

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

1, 3, 43, 129

Greatest Common Divisior

We found the divisors of 209, 185, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 185, 129 is 1.

Therefore, GCD of numbers 209, 185, 129 is 1

Given Input Data is 209, 185, 129

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 185 is 5 x 37

Prime Factorization of 129 is 3 x 43

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(209, 185) = 38665

GCD(209, 185) = ( 209 x 185 ) / 38665

GCD(209, 185) = 38665 / 38665

GCD(209, 185) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 129

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

LCM(1, 129) = 129

GCD(1, 129) = ( 1 x 129 ) / 129

GCD(1, 129) = 129 / 129

GCD(1, 129) = 1

GCD of 209, 185, 129 is 1

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1. What is the GCD of 209, 185, 129?

GCD of 209, 185, 129 is 1

2. Where do I get the detailed procedure to find GCD of 209, 185, 129?

You can find a detailed procedure to find GCD of 209, 185, 129 on our page.

3. How to find GCD of 209, 185, 129 on a calculator?

You can find the GCD of 209, 185, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.