GCD of 407, 612, 33, 116 Calculator

Given Input numbers are 407, 612, 33, 116

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

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 33

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

1, 3, 11, 33

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 407, 612, 33, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 612, 33, 116 is 1.

Therefore, GCD of numbers 407, 612, 33, 116 is 1

Given Input Data is 407, 612, 33, 116

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 33 is 3 x 11

Prime Factorization of 116 is 2 x 2 x 29

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(407, 612) = 249084

GCD(407, 612) = ( 407 x 612 ) / 249084

GCD(407, 612) = 249084 / 249084

GCD(407, 612) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 33

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

LCM(1, 33) = 33

GCD(1, 33) = ( 1 x 33 ) / 33

GCD(1, 33) = 33 / 33

GCD(1, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

GCD of 407, 612, 33, 116 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 837, 701, 64, 140
• GCD of 369, 161, 59, 865
• GCD of 251, 142, 30, 273
• GCD of 220, 538, 69, 303
• GCD of 330, 645, 52, 278

1. What is the GCD of 407, 612, 33, 116?

GCD of 407, 612, 33, 116 is 1

2. Where do I get the detailed procedure to find GCD of 407, 612, 33, 116?

You can find a detailed procedure to find GCD of 407, 612, 33, 116 on our page.

3. How to find GCD of 407, 612, 33, 116 on a calculator?

You can find the GCD of 407, 612, 33, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.