GCD of 444, 459, 859, 165 Calculator

Given Input numbers are 444, 459, 859, 165

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

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

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 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Greatest Common Divisior

We found the divisors of 444, 459, 859, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 459, 859, 165 is 1.

Therefore, GCD of numbers 444, 459, 859, 165 is 1

Given Input Data is 444, 459, 859, 165

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

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 859 is 859

Prime Factorization of 165 is 3 x 5 x 11

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(444, 459) = 67932

GCD(444, 459) = ( 444 x 459 ) / 67932

GCD(444, 459) = 203796 / 67932

GCD(444, 459) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 859

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

LCM(3, 859) = 2577

GCD(3, 859) = ( 3 x 859 ) / 2577

GCD(3, 859) = 2577 / 2577

GCD(3, 859) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

GCD of 444, 459, 859, 165 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 967, 841, 297, 916
• GCD of 790, 578, 391, 499
• GCD of 165, 748, 815, 446
• GCD of 930, 352, 201, 155
• GCD of 235, 250, 546, 994

1. What is the GCD of 444, 459, 859, 165?

GCD of 444, 459, 859, 165 is 1

2. Where do I get the detailed procedure to find GCD of 444, 459, 859, 165?

You can find a detailed procedure to find GCD of 444, 459, 859, 165 on our page.

3. How to find GCD of 444, 459, 859, 165 on a calculator?

You can find the GCD of 444, 459, 859, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.