GCD of 460, 861, 18, 222 Calculator

Given Input numbers are 460, 861, 18, 222

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 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Greatest Common Divisior

We found the divisors of 460, 861, 18, 222 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 861, 18, 222 is 1.

Therefore, GCD of numbers 460, 861, 18, 222 is 1

Given Input Data is 460, 861, 18, 222

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 861 is 3 x 7 x 41

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 222 is 2 x 3 x 37

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, 861) = 396060

GCD(460, 861) = ( 460 x 861 ) / 396060

GCD(460, 861) = 396060 / 396060

GCD(460, 861) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 222

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

LCM(1, 222) = 222

GCD(1, 222) = ( 1 x 222 ) / 222

GCD(1, 222) = 222 / 222

GCD(1, 222) = 1

GCD of 460, 861, 18, 222 is 1

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1. What is the GCD of 460, 861, 18, 222?

GCD of 460, 861, 18, 222 is 1

2. Where do I get the detailed procedure to find GCD of 460, 861, 18, 222?

You can find a detailed procedure to find GCD of 460, 861, 18, 222 on our page.

3. How to find GCD of 460, 861, 18, 222 on a calculator?

You can find the GCD of 460, 861, 18, 222 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.