GCD of 729, 663, 78, 755 Calculator

Given Input numbers are 729, 663, 78, 755

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 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Greatest Common Divisior

We found the divisors of 729, 663, 78, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 663, 78, 755 is 1.

Therefore, GCD of numbers 729, 663, 78, 755 is 1

Given Input Data is 729, 663, 78, 755

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 663 is 3 x 13 x 17

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 755 is 5 x 151

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, 663) = 161109

GCD(729, 663) = ( 729 x 663 ) / 161109

GCD(729, 663) = 483327 / 161109

GCD(729, 663) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 78

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

LCM(3, 78) = 78

GCD(3, 78) = ( 3 x 78 ) / 78

GCD(3, 78) = 234 / 78

GCD(3, 78) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 755

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

LCM(3, 755) = 2265

GCD(3, 755) = ( 3 x 755 ) / 2265

GCD(3, 755) = 2265 / 2265

GCD(3, 755) = 1

GCD of 729, 663, 78, 755 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 296, 168, 94, 269
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• GCD of 998, 708, 47, 718

1. What is the GCD of 729, 663, 78, 755?

GCD of 729, 663, 78, 755 is 1

2. Where do I get the detailed procedure to find GCD of 729, 663, 78, 755?

You can find a detailed procedure to find GCD of 729, 663, 78, 755 on our page.

3. How to find GCD of 729, 663, 78, 755 on a calculator?

You can find the GCD of 729, 663, 78, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.