GCD of 195, 366, 75, 903 Calculator

Given Input numbers are 195, 366, 75, 903

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

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 903

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

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

Greatest Common Divisior

We found the divisors of 195, 366, 75, 903 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 366, 75, 903 is 3.

Therefore, GCD of numbers 195, 366, 75, 903 is 3

Given Input Data is 195, 366, 75, 903

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

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 903 is 3 x 7 x 43

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(195, 366) = 23790

GCD(195, 366) = ( 195 x 366 ) / 23790

GCD(195, 366) = 71370 / 23790

GCD(195, 366) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 75

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

LCM(3, 75) = 75

GCD(3, 75) = ( 3 x 75 ) / 75

GCD(3, 75) = 225 / 75

GCD(3, 75) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 903

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

LCM(3, 903) = 903

GCD(3, 903) = ( 3 x 903 ) / 903

GCD(3, 903) = 2709 / 903

GCD(3, 903) = 3

GCD of 195, 366, 75, 903 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 553, 743, 79, 822
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• GCD of 782, 208, 75, 392

1. What is the GCD of 195, 366, 75, 903?

GCD of 195, 366, 75, 903 is 3

2. Where do I get the detailed procedure to find GCD of 195, 366, 75, 903?

You can find a detailed procedure to find GCD of 195, 366, 75, 903 on our page.

3. How to find GCD of 195, 366, 75, 903 on a calculator?

You can find the GCD of 195, 366, 75, 903 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.