GCD of 203, 856, 85, 108 Calculator

Given Input numbers are 203, 856, 85, 108

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

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 203, 856, 85, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 203, 856, 85, 108 is 1.

Therefore, GCD of numbers 203, 856, 85, 108 is 1

Given Input Data is 203, 856, 85, 108

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

Prime Factorization of 203 is 7 x 29

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 85 is 5 x 17

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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(203, 856) = 173768

GCD(203, 856) = ( 203 x 856 ) / 173768

GCD(203, 856) = 173768 / 173768

GCD(203, 856) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 203, 856, 85, 108 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 438, 178, 48, 159
• GCD of 176, 200, 86, 856
• GCD of 588, 722, 95, 100
• GCD of 682, 316, 24, 215
• GCD of 364, 443, 42, 609

1. What is the GCD of 203, 856, 85, 108?

GCD of 203, 856, 85, 108 is 1

2. Where do I get the detailed procedure to find GCD of 203, 856, 85, 108?

You can find a detailed procedure to find GCD of 203, 856, 85, 108 on our page.

3. How to find GCD of 203, 856, 85, 108 on a calculator?

You can find the GCD of 203, 856, 85, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.