GCD of 459, 270, 24, 624 Calculator

Given Input numbers are 459, 270, 24, 624

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 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Greatest Common Divisior

We found the divisors of 459, 270, 24, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 270, 24, 624 is 3.

Therefore, GCD of numbers 459, 270, 24, 624 is 3

Given Input Data is 459, 270, 24, 624

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 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 270) = 4590

GCD(459, 270) = ( 459 x 270 ) / 4590

GCD(459, 270) = 123930 / 4590

GCD(459, 270) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 24

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

LCM(27, 24) = 216

GCD(27, 24) = ( 27 x 24 ) / 216

GCD(27, 24) = 648 / 216

GCD(27, 24) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 624

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

LCM(3, 624) = 624

GCD(3, 624) = ( 3 x 624 ) / 624

GCD(3, 624) = 1872 / 624

GCD(3, 624) = 3

GCD of 459, 270, 24, 624 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 709, 924, 11, 964
• GCD of 153, 583, 41, 959
• GCD of 327, 798, 63, 530
• GCD of 169, 373, 37, 643
• GCD of 612, 751, 51, 182

1. What is the GCD of 459, 270, 24, 624?

GCD of 459, 270, 24, 624 is 3

2. Where do I get the detailed procedure to find GCD of 459, 270, 24, 624?

You can find a detailed procedure to find GCD of 459, 270, 24, 624 on our page.

3. How to find GCD of 459, 270, 24, 624 on a calculator?

You can find the GCD of 459, 270, 24, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.