GCD of 729, 110, 216, 299 Calculator

Given Input numbers are 729, 110, 216, 299

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

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 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Greatest Common Divisior

We found the divisors of 729, 110, 216, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 110, 216, 299 is 1.

Therefore, GCD of numbers 729, 110, 216, 299 is 1

Given Input Data is 729, 110, 216, 299

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

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

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 299 is 13 x 23

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(729, 110) = 80190

GCD(729, 110) = ( 729 x 110 ) / 80190

GCD(729, 110) = 80190 / 80190

GCD(729, 110) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 299

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

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

GCD(1, 299) = 299 / 299

GCD(1, 299) = 1

GCD of 729, 110, 216, 299 is 1

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• GCD of 827, 672, 146, 625
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1. What is the GCD of 729, 110, 216, 299?

GCD of 729, 110, 216, 299 is 1

2. Where do I get the detailed procedure to find GCD of 729, 110, 216, 299?

You can find a detailed procedure to find GCD of 729, 110, 216, 299 on our page.

3. How to find GCD of 729, 110, 216, 299 on a calculator?

You can find the GCD of 729, 110, 216, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.