GCD of 183, 612, 531, 957 Calculator

Given Input numbers are 183, 612, 531, 957

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

Divisors of 183

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

1, 3, 61, 183

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 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Greatest Common Divisior

We found the divisors of 183, 612, 531, 957 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 183, 612, 531, 957 is 3.

Therefore, GCD of numbers 183, 612, 531, 957 is 3

Given Input Data is 183, 612, 531, 957

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

Prime Factorization of 183 is 3 x 61

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

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 957 is 3 x 11 x 29

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(183, 612) = 37332

GCD(183, 612) = ( 183 x 612 ) / 37332

GCD(183, 612) = 111996 / 37332

GCD(183, 612) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 531

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

LCM(3, 531) = 531

GCD(3, 531) = ( 3 x 531 ) / 531

GCD(3, 531) = 1593 / 531

GCD(3, 531) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 957

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

LCM(3, 957) = 957

GCD(3, 957) = ( 3 x 957 ) / 957

GCD(3, 957) = 2871 / 957

GCD(3, 957) = 3

GCD of 183, 612, 531, 957 is 3

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1. What is the GCD of 183, 612, 531, 957?

GCD of 183, 612, 531, 957 is 3

2. Where do I get the detailed procedure to find GCD of 183, 612, 531, 957?

You can find a detailed procedure to find GCD of 183, 612, 531, 957 on our page.

3. How to find GCD of 183, 612, 531, 957 on a calculator?

You can find the GCD of 183, 612, 531, 957 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.