GCD of 198, 713, 729 Calculator

Given Input numbers are 198, 713, 729

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

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 729

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

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

Greatest Common Divisior

We found the divisors of 198, 713, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 713, 729 is 1.

Therefore, GCD of numbers 198, 713, 729 is 1

Given Input Data is 198, 713, 729

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

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 713 is 23 x 31

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

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(198, 713) = 141174

GCD(198, 713) = ( 198 x 713 ) / 141174

GCD(198, 713) = 141174 / 141174

GCD(198, 713) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 729

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

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

GCD(1, 729) = 729 / 729

GCD(1, 729) = 1

GCD of 198, 713, 729 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 452, 235, 962
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1. What is the GCD of 198, 713, 729?

GCD of 198, 713, 729 is 1

2. Where do I get the detailed procedure to find GCD of 198, 713, 729?

You can find a detailed procedure to find GCD of 198, 713, 729 on our page.

3. How to find GCD of 198, 713, 729 on a calculator?

You can find the GCD of 198, 713, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.