GCD of 460, 544, 20, 729 Calculator

Given Input numbers are 460, 544, 20, 729

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Greatest Common Divisior

We found the divisors of 460, 544, 20, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 544, 20, 729 is 1.

Therefore, GCD of numbers 460, 544, 20, 729 is 1

Given Input Data is 460, 544, 20, 729

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

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(460, 544) = 62560

GCD(460, 544) = ( 460 x 544 ) / 62560

GCD(460, 544) = 250240 / 62560

GCD(460, 544) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 20

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

LCM(4, 20) = 20

GCD(4, 20) = ( 4 x 20 ) / 20

GCD(4, 20) = 80 / 20

GCD(4, 20) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 729

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

LCM(4, 729) = 2916

GCD(4, 729) = ( 4 x 729 ) / 2916

GCD(4, 729) = 2916 / 2916

GCD(4, 729) = 1

GCD of 460, 544, 20, 729 is 1

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1. What is the GCD of 460, 544, 20, 729?

GCD of 460, 544, 20, 729 is 1

2. Where do I get the detailed procedure to find GCD of 460, 544, 20, 729?

You can find a detailed procedure to find GCD of 460, 544, 20, 729 on our page.

3. How to find GCD of 460, 544, 20, 729 on a calculator?

You can find the GCD of 460, 544, 20, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.