GCD of 729, 264, 478, 596 Calculator

Given Input numbers are 729, 264, 478, 596

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 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Greatest Common Divisior

We found the divisors of 729, 264, 478, 596 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 264, 478, 596 is 1.

Therefore, GCD of numbers 729, 264, 478, 596 is 1

Given Input Data is 729, 264, 478, 596

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 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 478 is 2 x 239

Prime Factorization of 596 is 2 x 2 x 149

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, 264) = 64152

GCD(729, 264) = ( 729 x 264 ) / 64152

GCD(729, 264) = 192456 / 64152

GCD(729, 264) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 478

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

LCM(3, 478) = 1434

GCD(3, 478) = ( 3 x 478 ) / 1434

GCD(3, 478) = 1434 / 1434

GCD(3, 478) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 596

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

LCM(1, 596) = 596

GCD(1, 596) = ( 1 x 596 ) / 596

GCD(1, 596) = 596 / 596

GCD(1, 596) = 1

GCD of 729, 264, 478, 596 is 1

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1. What is the GCD of 729, 264, 478, 596?

GCD of 729, 264, 478, 596 is 1

2. Where do I get the detailed procedure to find GCD of 729, 264, 478, 596?

You can find a detailed procedure to find GCD of 729, 264, 478, 596 on our page.

3. How to find GCD of 729, 264, 478, 596 on a calculator?

You can find the GCD of 729, 264, 478, 596 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.