GCD of 460, 366, 24, 433 Calculator

Given Input numbers are 460, 366, 24, 433

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

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 433

List of positive integer divisors of 433 that divides 433 without a remainder.

1, 433

Greatest Common Divisior

We found the divisors of 460, 366, 24, 433 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 366, 24, 433 is 1.

Therefore, GCD of numbers 460, 366, 24, 433 is 1

Given Input Data is 460, 366, 24, 433

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 366 is 2 x 3 x 61

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

Prime Factorization of 433 is 433

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(460, 366) = 84180

GCD(460, 366) = ( 460 x 366 ) / 84180

GCD(460, 366) = 168360 / 84180

GCD(460, 366) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 24

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

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

GCD(2, 24) = 48 / 24

GCD(2, 24) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 433

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

LCM(2, 433) = 866

GCD(2, 433) = ( 2 x 433 ) / 866

GCD(2, 433) = 866 / 866

GCD(2, 433) = 1

GCD of 460, 366, 24, 433 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 265, 778, 40, 897
• GCD of 380, 438, 37, 586
• GCD of 241, 763, 20, 833
• GCD of 837, 898, 16, 605
• GCD of 260, 283, 33, 557

1. What is the GCD of 460, 366, 24, 433?

GCD of 460, 366, 24, 433 is 1

2. Where do I get the detailed procedure to find GCD of 460, 366, 24, 433?

You can find a detailed procedure to find GCD of 460, 366, 24, 433 on our page.

3. How to find GCD of 460, 366, 24, 433 on a calculator?

You can find the GCD of 460, 366, 24, 433 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.