GCD of 576, 459, 146, 725 Calculator

Given Input numbers are 576, 459, 146, 725

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

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

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 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Greatest Common Divisior

We found the divisors of 576, 459, 146, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 459, 146, 725 is 1.

Therefore, GCD of numbers 576, 459, 146, 725 is 1

Given Input Data is 576, 459, 146, 725

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

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Prime Factorization of 146 is 2 x 73

Prime Factorization of 725 is 5 x 5 x 29

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(576, 459) = 29376

GCD(576, 459) = ( 576 x 459 ) / 29376

GCD(576, 459) = 264384 / 29376

GCD(576, 459) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 146

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

LCM(9, 146) = 1314

GCD(9, 146) = ( 9 x 146 ) / 1314

GCD(9, 146) = 1314 / 1314

GCD(9, 146) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 725

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

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

GCD(1, 725) = 725 / 725

GCD(1, 725) = 1

GCD of 576, 459, 146, 725 is 1

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1. What is the GCD of 576, 459, 146, 725?

GCD of 576, 459, 146, 725 is 1

2. Where do I get the detailed procedure to find GCD of 576, 459, 146, 725?

You can find a detailed procedure to find GCD of 576, 459, 146, 725 on our page.

3. How to find GCD of 576, 459, 146, 725 on a calculator?

You can find the GCD of 576, 459, 146, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.