GCD of 33, 188, 828, 111 Calculator

Given Input numbers are 33, 188, 828, 111

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

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Greatest Common Divisior

We found the divisors of 33, 188, 828, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 188, 828, 111 is 1.

Therefore, GCD of numbers 33, 188, 828, 111 is 1

Given Input Data is 33, 188, 828, 111

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

Prime Factorization of 33 is 3 x 11

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 111 is 3 x 37

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(33, 188) = 6204

GCD(33, 188) = ( 33 x 188 ) / 6204

GCD(33, 188) = 6204 / 6204

GCD(33, 188) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 111

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

LCM(1, 111) = 111

GCD(1, 111) = ( 1 x 111 ) / 111

GCD(1, 111) = 111 / 111

GCD(1, 111) = 1

GCD of 33, 188, 828, 111 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 60, 826, 409, 613
• GCD of 62, 336, 445, 882
• GCD of 23, 980, 378, 855
• GCD of 90, 589, 947, 242
• GCD of 62, 453, 614, 636

1. What is the GCD of 33, 188, 828, 111?

GCD of 33, 188, 828, 111 is 1

2. Where do I get the detailed procedure to find GCD of 33, 188, 828, 111?

You can find a detailed procedure to find GCD of 33, 188, 828, 111 on our page.

3. How to find GCD of 33, 188, 828, 111 on a calculator?

You can find the GCD of 33, 188, 828, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.