GCD of 33, 993, 294, 453 Calculator

Given Input numbers are 33, 993, 294, 453

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 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Greatest Common Divisior

We found the divisors of 33, 993, 294, 453 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 993, 294, 453 is 3.

Therefore, GCD of numbers 33, 993, 294, 453 is 3

Given Input Data is 33, 993, 294, 453

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

Prime Factorization of 33 is 3 x 11

Prime Factorization of 993 is 3 x 331

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 453 is 3 x 151

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(33, 993) = 10923

GCD(33, 993) = ( 33 x 993 ) / 10923

GCD(33, 993) = 32769 / 10923

GCD(33, 993) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 294

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

LCM(3, 294) = 294

GCD(3, 294) = ( 3 x 294 ) / 294

GCD(3, 294) = 882 / 294

GCD(3, 294) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 453

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

LCM(3, 453) = 453

GCD(3, 453) = ( 3 x 453 ) / 453

GCD(3, 453) = 1359 / 453

GCD(3, 453) = 3

GCD of 33, 993, 294, 453 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 98, 806, 635, 940
• GCD of 73, 582, 656, 822
• GCD of 89, 314, 260, 846
• GCD of 25, 331, 639, 204
• GCD of 17, 624, 496, 405

1. What is the GCD of 33, 993, 294, 453?

GCD of 33, 993, 294, 453 is 3

2. Where do I get the detailed procedure to find GCD of 33, 993, 294, 453?

You can find a detailed procedure to find GCD of 33, 993, 294, 453 on our page.

3. How to find GCD of 33, 993, 294, 453 on a calculator?

You can find the GCD of 33, 993, 294, 453 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.