GCD of 729, 468, 85, 502 Calculator

Given Input numbers are 729, 468, 85, 502

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 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 729, 468, 85, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 468, 85, 502 is 1.

Therefore, GCD of numbers 729, 468, 85, 502 is 1

Given Input Data is 729, 468, 85, 502

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 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 85 is 5 x 17

Prime Factorization of 502 is 2 x 251

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, 468) = 37908

GCD(729, 468) = ( 729 x 468 ) / 37908

GCD(729, 468) = 341172 / 37908

GCD(729, 468) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 85

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

LCM(9, 85) = 765

GCD(9, 85) = ( 9 x 85 ) / 765

GCD(9, 85) = 765 / 765

GCD(9, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 502

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

LCM(1, 502) = 502

GCD(1, 502) = ( 1 x 502 ) / 502

GCD(1, 502) = 502 / 502

GCD(1, 502) = 1

GCD of 729, 468, 85, 502 is 1

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• GCD of 178, 522, 86, 725
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1. What is the GCD of 729, 468, 85, 502?

GCD of 729, 468, 85, 502 is 1

2. Where do I get the detailed procedure to find GCD of 729, 468, 85, 502?

You can find a detailed procedure to find GCD of 729, 468, 85, 502 on our page.

3. How to find GCD of 729, 468, 85, 502 on a calculator?

You can find the GCD of 729, 468, 85, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.