GCD of 712, 729, 723, 704 Calculator

Given Input numbers are 712, 729, 723, 704

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

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 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 712, 729, 723, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 729, 723, 704 is 1.

Therefore, GCD of numbers 712, 729, 723, 704 is 1

Given Input Data is 712, 729, 723, 704

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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(712, 729) = 519048

GCD(712, 729) = ( 712 x 729 ) / 519048

GCD(712, 729) = 519048 / 519048

GCD(712, 729) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 723

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

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

GCD(1, 723) = 723 / 723

GCD(1, 723) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

GCD of 712, 729, 723, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 469, 657, 301, 138
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• GCD of 313, 678, 149, 192

1. What is the GCD of 712, 729, 723, 704?

GCD of 712, 729, 723, 704 is 1

2. Where do I get the detailed procedure to find GCD of 712, 729, 723, 704?

You can find a detailed procedure to find GCD of 712, 729, 723, 704 on our page.

3. How to find GCD of 712, 729, 723, 704 on a calculator?

You can find the GCD of 712, 729, 723, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.