GCD of 612, 594, 33, 309 Calculator

Given Input numbers are 612, 594, 33, 309

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

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 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 33

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

1, 3, 11, 33

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 612, 594, 33, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 594, 33, 309 is 3.

Therefore, GCD of numbers 612, 594, 33, 309 is 3

Given Input Data is 612, 594, 33, 309

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

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

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 33 is 3 x 11

Prime Factorization of 309 is 3 x 103

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(612, 594) = 20196

GCD(612, 594) = ( 612 x 594 ) / 20196

GCD(612, 594) = 363528 / 20196

GCD(612, 594) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 33

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

LCM(18, 33) = 198

GCD(18, 33) = ( 18 x 33 ) / 198

GCD(18, 33) = 594 / 198

GCD(18, 33) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 309

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

LCM(3, 309) = 309

GCD(3, 309) = ( 3 x 309 ) / 309

GCD(3, 309) = 927 / 309

GCD(3, 309) = 3

GCD of 612, 594, 33, 309 is 3

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• GCD of 415, 389, 48, 219
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1. What is the GCD of 612, 594, 33, 309?

GCD of 612, 594, 33, 309 is 3

2. Where do I get the detailed procedure to find GCD of 612, 594, 33, 309?

You can find a detailed procedure to find GCD of 612, 594, 33, 309 on our page.

3. How to find GCD of 612, 594, 33, 309 on a calculator?

You can find the GCD of 612, 594, 33, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.