GCD of 729, 720, 243, 607 Calculator

Given Input numbers are 729, 720, 243, 607

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 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 607

List of positive integer divisors of 607 that divides 607 without a remainder.

1, 607

Greatest Common Divisior

We found the divisors of 729, 720, 243, 607 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 720, 243, 607 is 1.

Therefore, GCD of numbers 729, 720, 243, 607 is 1

Given Input Data is 729, 720, 243, 607

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 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 607 is 607

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, 720) = 58320

GCD(729, 720) = ( 729 x 720 ) / 58320

GCD(729, 720) = 524880 / 58320

GCD(729, 720) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 243

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

LCM(9, 243) = 243

GCD(9, 243) = ( 9 x 243 ) / 243

GCD(9, 243) = 2187 / 243

GCD(9, 243) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 607

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

LCM(9, 607) = 5463

GCD(9, 607) = ( 9 x 607 ) / 5463

GCD(9, 607) = 5463 / 5463

GCD(9, 607) = 1

GCD of 729, 720, 243, 607 is 1

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1. What is the GCD of 729, 720, 243, 607?

GCD of 729, 720, 243, 607 is 1

2. Where do I get the detailed procedure to find GCD of 729, 720, 243, 607?

You can find a detailed procedure to find GCD of 729, 720, 243, 607 on our page.

3. How to find GCD of 729, 720, 243, 607 on a calculator?

You can find the GCD of 729, 720, 243, 607 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.