GCD of 729, 916, 68, 269 Calculator

Given Input numbers are 729, 916, 68, 269

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 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Greatest Common Divisior

We found the divisors of 729, 916, 68, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 916, 68, 269 is 1.

Therefore, GCD of numbers 729, 916, 68, 269 is 1

Given Input Data is 729, 916, 68, 269

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 916 is 2 x 2 x 229

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 269 is 269

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, 916) = 667764

GCD(729, 916) = ( 729 x 916 ) / 667764

GCD(729, 916) = 667764 / 667764

GCD(729, 916) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 68

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

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

GCD(1, 68) = 68 / 68

GCD(1, 68) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 269

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

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

GCD(1, 269) = 269 / 269

GCD(1, 269) = 1

GCD of 729, 916, 68, 269 is 1

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1. What is the GCD of 729, 916, 68, 269?

GCD of 729, 916, 68, 269 is 1

2. Where do I get the detailed procedure to find GCD of 729, 916, 68, 269?

You can find a detailed procedure to find GCD of 729, 916, 68, 269 on our page.

3. How to find GCD of 729, 916, 68, 269 on a calculator?

You can find the GCD of 729, 916, 68, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.