GCD of 675, 183, 30, 333 Calculator

Given Input numbers are 675, 183, 30, 333

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 333

List of positive integer divisors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Greatest Common Divisior

We found the divisors of 675, 183, 30, 333 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 183, 30, 333 is 3.

Therefore, GCD of numbers 675, 183, 30, 333 is 3

Given Input Data is 675, 183, 30, 333

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 183 is 3 x 61

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 333 is 3 x 3 x 37

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(675, 183) = 41175

GCD(675, 183) = ( 675 x 183 ) / 41175

GCD(675, 183) = 123525 / 41175

GCD(675, 183) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 30

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

LCM(3, 30) = 30

GCD(3, 30) = ( 3 x 30 ) / 30

GCD(3, 30) = 90 / 30

GCD(3, 30) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 333

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

LCM(3, 333) = 333

GCD(3, 333) = ( 3 x 333 ) / 333

GCD(3, 333) = 999 / 333

GCD(3, 333) = 3

GCD of 675, 183, 30, 333 is 3

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• GCD of 507, 231, 99, 965
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1. What is the GCD of 675, 183, 30, 333?

GCD of 675, 183, 30, 333 is 3

2. Where do I get the detailed procedure to find GCD of 675, 183, 30, 333?

You can find a detailed procedure to find GCD of 675, 183, 30, 333 on our page.

3. How to find GCD of 675, 183, 30, 333 on a calculator?

You can find the GCD of 675, 183, 30, 333 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.