GCD of 209, 729, 75, 799 Calculator

Given Input numbers are 209, 729, 75, 799

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 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Greatest Common Divisior

We found the divisors of 209, 729, 75, 799 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 729, 75, 799 is 1.

Therefore, GCD of numbers 209, 729, 75, 799 is 1

Given Input Data is 209, 729, 75, 799

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 799 is 17 x 47

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, 729) = 152361

GCD(209, 729) = ( 209 x 729 ) / 152361

GCD(209, 729) = 152361 / 152361

GCD(209, 729) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 799

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

LCM(1, 799) = 799

GCD(1, 799) = ( 1 x 799 ) / 799

GCD(1, 799) = 799 / 799

GCD(1, 799) = 1

GCD of 209, 729, 75, 799 is 1

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1. What is the GCD of 209, 729, 75, 799?

GCD of 209, 729, 75, 799 is 1

2. Where do I get the detailed procedure to find GCD of 209, 729, 75, 799?

You can find a detailed procedure to find GCD of 209, 729, 75, 799 on our page.

3. How to find GCD of 209, 729, 75, 799 on a calculator?

You can find the GCD of 209, 729, 75, 799 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.