GCD of 459, 323, 928, 146 Calculator

Given Input numbers are 459, 323, 928, 146

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

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 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 146

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

1, 2, 73, 146

Greatest Common Divisior

We found the divisors of 459, 323, 928, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 323, 928, 146 is 1.

Therefore, GCD of numbers 459, 323, 928, 146 is 1

Given Input Data is 459, 323, 928, 146

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

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

Prime Factorization of 323 is 17 x 19

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 146 is 2 x 73

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(459, 323) = 8721

GCD(459, 323) = ( 459 x 323 ) / 8721

GCD(459, 323) = 148257 / 8721

GCD(459, 323) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 928

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

LCM(17, 928) = 15776

GCD(17, 928) = ( 17 x 928 ) / 15776

GCD(17, 928) = 15776 / 15776

GCD(17, 928) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 146

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

LCM(1, 146) = 146

GCD(1, 146) = ( 1 x 146 ) / 146

GCD(1, 146) = 146 / 146

GCD(1, 146) = 1

GCD of 459, 323, 928, 146 is 1

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1. What is the GCD of 459, 323, 928, 146?

GCD of 459, 323, 928, 146 is 1

2. Where do I get the detailed procedure to find GCD of 459, 323, 928, 146?

You can find a detailed procedure to find GCD of 459, 323, 928, 146 on our page.

3. How to find GCD of 459, 323, 928, 146 on a calculator?

You can find the GCD of 459, 323, 928, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.