GCD of 204, 850, 46, 239 Calculator

Given Input numbers are 204, 850, 46, 239

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

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 239

List of positive integer divisors of 239 that divides 239 without a remainder.

1, 239

Greatest Common Divisior

We found the divisors of 204, 850, 46, 239 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 850, 46, 239 is 1.

Therefore, GCD of numbers 204, 850, 46, 239 is 1

Given Input Data is 204, 850, 46, 239

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

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 46 is 2 x 23

Prime Factorization of 239 is 239

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(204, 850) = 5100

GCD(204, 850) = ( 204 x 850 ) / 5100

GCD(204, 850) = 173400 / 5100

GCD(204, 850) = 34

Step2:

Here we consider the GCD from the above i.e. 34 as first number and the next as 46

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

LCM(34, 46) = 782

GCD(34, 46) = ( 34 x 46 ) / 782

GCD(34, 46) = 1564 / 782

GCD(34, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 239

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

LCM(2, 239) = 478

GCD(2, 239) = ( 2 x 239 ) / 478

GCD(2, 239) = 478 / 478

GCD(2, 239) = 1

GCD of 204, 850, 46, 239 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 453, 270, 19, 968
• GCD of 523, 758, 37, 570
• GCD of 328, 558, 85, 325
• GCD of 462, 136, 86, 681
• GCD of 155, 915, 11, 579

1. What is the GCD of 204, 850, 46, 239?

GCD of 204, 850, 46, 239 is 1

2. Where do I get the detailed procedure to find GCD of 204, 850, 46, 239?

You can find a detailed procedure to find GCD of 204, 850, 46, 239 on our page.

3. How to find GCD of 204, 850, 46, 239 on a calculator?

You can find the GCD of 204, 850, 46, 239 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.