GCD of 309, 933, 567, 483 Calculator

Given Input numbers are 309, 933, 567, 483

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

Divisors of 309

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

1, 3, 103, 309

Divisors of 933

List of positive integer divisors of 933 that divides 933 without a remainder.

1, 3, 311, 933

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 483

List of positive integer divisors of 483 that divides 483 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483

Greatest Common Divisior

We found the divisors of 309, 933, 567, 483 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 933, 567, 483 is 3.

Therefore, GCD of numbers 309, 933, 567, 483 is 3

Given Input Data is 309, 933, 567, 483

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 933 is 3 x 311

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 483 is 3 x 7 x 23

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(309, 933) = 96099

GCD(309, 933) = ( 309 x 933 ) / 96099

GCD(309, 933) = 288297 / 96099

GCD(309, 933) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 567

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

LCM(3, 567) = 567

GCD(3, 567) = ( 3 x 567 ) / 567

GCD(3, 567) = 1701 / 567

GCD(3, 567) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 483

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

LCM(3, 483) = 483

GCD(3, 483) = ( 3 x 483 ) / 483

GCD(3, 483) = 1449 / 483

GCD(3, 483) = 3

GCD of 309, 933, 567, 483 is 3

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1. What is the GCD of 309, 933, 567, 483?

GCD of 309, 933, 567, 483 is 3

2. Where do I get the detailed procedure to find GCD of 309, 933, 567, 483?

You can find a detailed procedure to find GCD of 309, 933, 567, 483 on our page.

3. How to find GCD of 309, 933, 567, 483 on a calculator?

You can find the GCD of 309, 933, 567, 483 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.