GCD of 459, 423, 28, 346 Calculator

Given Input numbers are 459, 423, 28, 346

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 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Greatest Common Divisior

We found the divisors of 459, 423, 28, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 423, 28, 346 is 1.

Therefore, GCD of numbers 459, 423, 28, 346 is 1

Given Input Data is 459, 423, 28, 346

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 423 is 3 x 3 x 47

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 346 is 2 x 173

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, 423) = 21573

GCD(459, 423) = ( 459 x 423 ) / 21573

GCD(459, 423) = 194157 / 21573

GCD(459, 423) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 28

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

LCM(9, 28) = 252

GCD(9, 28) = ( 9 x 28 ) / 252

GCD(9, 28) = 252 / 252

GCD(9, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 346

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

LCM(1, 346) = 346

GCD(1, 346) = ( 1 x 346 ) / 346

GCD(1, 346) = 346 / 346

GCD(1, 346) = 1

GCD of 459, 423, 28, 346 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 247, 297, 61, 836
• GCD of 791, 627, 84, 875
• GCD of 297, 403, 65, 130
• GCD of 677, 463, 26, 544
• GCD of 337, 251, 52, 286

1. What is the GCD of 459, 423, 28, 346?

GCD of 459, 423, 28, 346 is 1

2. Where do I get the detailed procedure to find GCD of 459, 423, 28, 346?

You can find a detailed procedure to find GCD of 459, 423, 28, 346 on our page.

3. How to find GCD of 459, 423, 28, 346 on a calculator?

You can find the GCD of 459, 423, 28, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.