GCD of 33, 114, 381, 863 Calculator

Given Input numbers are 33, 114, 381, 863

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 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 863

List of positive integer divisors of 863 that divides 863 without a remainder.

1, 863

Greatest Common Divisior

We found the divisors of 33, 114, 381, 863 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 114, 381, 863 is 1.

Therefore, GCD of numbers 33, 114, 381, 863 is 1

Given Input Data is 33, 114, 381, 863

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

Prime Factorization of 33 is 3 x 11

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 381 is 3 x 127

Prime Factorization of 863 is 863

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, 114) = 1254

GCD(33, 114) = ( 33 x 114 ) / 1254

GCD(33, 114) = 3762 / 1254

GCD(33, 114) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 381

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

LCM(3, 381) = 381

GCD(3, 381) = ( 3 x 381 ) / 381

GCD(3, 381) = 1143 / 381

GCD(3, 381) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 863

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

LCM(3, 863) = 2589

GCD(3, 863) = ( 3 x 863 ) / 2589

GCD(3, 863) = 2589 / 2589

GCD(3, 863) = 1

GCD of 33, 114, 381, 863 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 27, 399, 287, 160
• GCD of 61, 427, 430, 101
• GCD of 86, 545, 601, 698
• GCD of 37, 463, 522, 115
• GCD of 60, 644, 349, 641

1. What is the GCD of 33, 114, 381, 863?

GCD of 33, 114, 381, 863 is 1

2. Where do I get the detailed procedure to find GCD of 33, 114, 381, 863?

You can find a detailed procedure to find GCD of 33, 114, 381, 863 on our page.

3. How to find GCD of 33, 114, 381, 863 on a calculator?

You can find the GCD of 33, 114, 381, 863 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.