GCD of 462, 804, 14, 729 Calculator

Given Input numbers are 462, 804, 14, 729

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

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 462, 804, 14, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 804, 14, 729 is 1.

Therefore, GCD of numbers 462, 804, 14, 729 is 1

Given Input Data is 462, 804, 14, 729

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 14 is 2 x 7

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(462, 804) = 61908

GCD(462, 804) = ( 462 x 804 ) / 61908

GCD(462, 804) = 371448 / 61908

GCD(462, 804) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 14

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

LCM(6, 14) = 42

GCD(6, 14) = ( 6 x 14 ) / 42

GCD(6, 14) = 84 / 42

GCD(6, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 729

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

LCM(2, 729) = 1458

GCD(2, 729) = ( 2 x 729 ) / 1458

GCD(2, 729) = 1458 / 1458

GCD(2, 729) = 1

GCD of 462, 804, 14, 729 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 499, 569, 38, 472
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• GCD of 640, 299, 60, 522

1. What is the GCD of 462, 804, 14, 729?

GCD of 462, 804, 14, 729 is 1

2. Where do I get the detailed procedure to find GCD of 462, 804, 14, 729?

You can find a detailed procedure to find GCD of 462, 804, 14, 729 on our page.

3. How to find GCD of 462, 804, 14, 729 on a calculator?

You can find the GCD of 462, 804, 14, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.