GCD of 850, 796, 903, 180 Calculator

Given Input numbers are 850, 796, 903, 180

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

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 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Greatest Common Divisior

We found the divisors of 850, 796, 903, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 850, 796, 903, 180 is 1.

Therefore, GCD of numbers 850, 796, 903, 180 is 1

Given Input Data is 850, 796, 903, 180

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

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

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 903 is 3 x 7 x 43

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

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(850, 796) = 338300

GCD(850, 796) = ( 850 x 796 ) / 338300

GCD(850, 796) = 676600 / 338300

GCD(850, 796) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 903

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

LCM(2, 903) = 1806

GCD(2, 903) = ( 2 x 903 ) / 1806

GCD(2, 903) = 1806 / 1806

GCD(2, 903) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

GCD of 850, 796, 903, 180 is 1

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1. What is the GCD of 850, 796, 903, 180?

GCD of 850, 796, 903, 180 is 1

2. Where do I get the detailed procedure to find GCD of 850, 796, 903, 180?

You can find a detailed procedure to find GCD of 850, 796, 903, 180 on our page.

3. How to find GCD of 850, 796, 903, 180 on a calculator?

You can find the GCD of 850, 796, 903, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.