GCD of 442, 364, 729, 432 Calculator

Given Input numbers are 442, 364, 729, 432

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

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Greatest Common Divisior

We found the divisors of 442, 364, 729, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 364, 729, 432 is 1.

Therefore, GCD of numbers 442, 364, 729, 432 is 1

Given Input Data is 442, 364, 729, 432

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

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 364 is 2 x 2 x 7 x 13

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

Prime Factorization of 432 is 2 x 2 x 2 x 2 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(442, 364) = 6188

GCD(442, 364) = ( 442 x 364 ) / 6188

GCD(442, 364) = 160888 / 6188

GCD(442, 364) = 26

Step2:

Here we consider the GCD from the above i.e. 26 as first number and the next as 729

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

LCM(26, 729) = 18954

GCD(26, 729) = ( 26 x 729 ) / 18954

GCD(26, 729) = 18954 / 18954

GCD(26, 729) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 432

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

LCM(1, 432) = 432

GCD(1, 432) = ( 1 x 432 ) / 432

GCD(1, 432) = 432 / 432

GCD(1, 432) = 1

GCD of 442, 364, 729, 432 is 1

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1. What is the GCD of 442, 364, 729, 432?

GCD of 442, 364, 729, 432 is 1

2. Where do I get the detailed procedure to find GCD of 442, 364, 729, 432?

You can find a detailed procedure to find GCD of 442, 364, 729, 432 on our page.

3. How to find GCD of 442, 364, 729, 432 on a calculator?

You can find the GCD of 442, 364, 729, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.