GCD of 729, 749, 13, 777 Calculator

Given Input numbers are 729, 749, 13, 777

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 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Greatest Common Divisior

We found the divisors of 729, 749, 13, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 749, 13, 777 is 1.

Therefore, GCD of numbers 729, 749, 13, 777 is 1

Given Input Data is 729, 749, 13, 777

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 749 is 7 x 107

Prime Factorization of 13 is 13

Prime Factorization of 777 is 3 x 7 x 37

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, 749) = 546021

GCD(729, 749) = ( 729 x 749 ) / 546021

GCD(729, 749) = 546021 / 546021

GCD(729, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 777

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

LCM(1, 777) = 777

GCD(1, 777) = ( 1 x 777 ) / 777

GCD(1, 777) = 777 / 777

GCD(1, 777) = 1

GCD of 729, 749, 13, 777 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 722, 650, 62, 497
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• GCD of 744, 671, 62, 652

1. What is the GCD of 729, 749, 13, 777?

GCD of 729, 749, 13, 777 is 1

2. Where do I get the detailed procedure to find GCD of 729, 749, 13, 777?

You can find a detailed procedure to find GCD of 729, 749, 13, 777 on our page.

3. How to find GCD of 729, 749, 13, 777 on a calculator?

You can find the GCD of 729, 749, 13, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.