GCD of 184, 108, 36, 825 Calculator

Given Input numbers are 184, 108, 36, 825

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

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Greatest Common Divisior

We found the divisors of 184, 108, 36, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 184, 108, 36, 825 is 1.

Therefore, GCD of numbers 184, 108, 36, 825 is 1

Given Input Data is 184, 108, 36, 825

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

Prime Factorization of 184 is 2 x 2 x 2 x 23

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 825 is 3 x 5 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(184, 108) = 4968

GCD(184, 108) = ( 184 x 108 ) / 4968

GCD(184, 108) = 19872 / 4968

GCD(184, 108) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 36

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

LCM(4, 36) = 36

GCD(4, 36) = ( 4 x 36 ) / 36

GCD(4, 36) = 144 / 36

GCD(4, 36) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 825

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

LCM(4, 825) = 3300

GCD(4, 825) = ( 4 x 825 ) / 3300

GCD(4, 825) = 3300 / 3300

GCD(4, 825) = 1

GCD of 184, 108, 36, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 211, 746, 25, 907
• GCD of 225, 203, 39, 798
• GCD of 243, 964, 49, 743
• GCD of 143, 635, 77, 239
• GCD of 163, 167, 43, 944

1. What is the GCD of 184, 108, 36, 825?

GCD of 184, 108, 36, 825 is 1

2. Where do I get the detailed procedure to find GCD of 184, 108, 36, 825?

You can find a detailed procedure to find GCD of 184, 108, 36, 825 on our page.

3. How to find GCD of 184, 108, 36, 825 on a calculator?

You can find the GCD of 184, 108, 36, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.