GCD of 384, 459, 709, 723 Calculator

Given Input numbers are 384, 459, 709, 723

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

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Greatest Common Divisior

We found the divisors of 384, 459, 709, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 459, 709, 723 is 1.

Therefore, GCD of numbers 384, 459, 709, 723 is 1

Given Input Data is 384, 459, 709, 723

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

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 709 is 709

Prime Factorization of 723 is 3 x 241

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(384, 459) = 58752

GCD(384, 459) = ( 384 x 459 ) / 58752

GCD(384, 459) = 176256 / 58752

GCD(384, 459) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 709

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

LCM(3, 709) = 2127

GCD(3, 709) = ( 3 x 709 ) / 2127

GCD(3, 709) = 2127 / 2127

GCD(3, 709) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 723

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

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

GCD(1, 723) = 723 / 723

GCD(1, 723) = 1

GCD of 384, 459, 709, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 631, 907, 220, 466
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• GCD of 829, 230, 385, 460

1. What is the GCD of 384, 459, 709, 723?

GCD of 384, 459, 709, 723 is 1

2. Where do I get the detailed procedure to find GCD of 384, 459, 709, 723?

You can find a detailed procedure to find GCD of 384, 459, 709, 723 on our page.

3. How to find GCD of 384, 459, 709, 723 on a calculator?

You can find the GCD of 384, 459, 709, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.