GCD of 18, 460, 431, 123 Calculator

Given Input numbers are 18, 460, 431, 123

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

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 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 18, 460, 431, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 460, 431, 123 is 1.

Therefore, GCD of numbers 18, 460, 431, 123 is 1

Given Input Data is 18, 460, 431, 123

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

Prime Factorization of 18 is 2 x 3 x 3

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

Prime Factorization of 431 is 431

Prime Factorization of 123 is 3 x 41

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(18, 460) = 4140

GCD(18, 460) = ( 18 x 460 ) / 4140

GCD(18, 460) = 8280 / 4140

GCD(18, 460) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 431

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

LCM(2, 431) = 862

GCD(2, 431) = ( 2 x 431 ) / 862

GCD(2, 431) = 862 / 862

GCD(2, 431) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 18, 460, 431, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 26, 567, 277, 986
• GCD of 82, 127, 685, 989
• GCD of 36, 941, 219, 917
• GCD of 10, 103, 548, 954
• GCD of 13, 157, 499, 808

1. What is the GCD of 18, 460, 431, 123?

GCD of 18, 460, 431, 123 is 1

2. Where do I get the detailed procedure to find GCD of 18, 460, 431, 123?

You can find a detailed procedure to find GCD of 18, 460, 431, 123 on our page.

3. How to find GCD of 18, 460, 431, 123 on a calculator?

You can find the GCD of 18, 460, 431, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.