GCD of 258, 300, 885, 183 Calculator

Given Input numbers are 258, 300, 885, 183

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

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 885

List of positive integer divisors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

Divisors of 183

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

1, 3, 61, 183

Greatest Common Divisior

We found the divisors of 258, 300, 885, 183 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 300, 885, 183 is 3.

Therefore, GCD of numbers 258, 300, 885, 183 is 3

Given Input Data is 258, 300, 885, 183

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

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 885 is 3 x 5 x 59

Prime Factorization of 183 is 3 x 61

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(258, 300) = 12900

GCD(258, 300) = ( 258 x 300 ) / 12900

GCD(258, 300) = 77400 / 12900

GCD(258, 300) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 885

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

LCM(6, 885) = 1770

GCD(6, 885) = ( 6 x 885 ) / 1770

GCD(6, 885) = 5310 / 1770

GCD(6, 885) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 183

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

LCM(3, 183) = 183

GCD(3, 183) = ( 3 x 183 ) / 183

GCD(3, 183) = 549 / 183

GCD(3, 183) = 3

GCD of 258, 300, 885, 183 is 3

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1. What is the GCD of 258, 300, 885, 183?

GCD of 258, 300, 885, 183 is 3

2. Where do I get the detailed procedure to find GCD of 258, 300, 885, 183?

You can find a detailed procedure to find GCD of 258, 300, 885, 183 on our page.

3. How to find GCD of 258, 300, 885, 183 on a calculator?

You can find the GCD of 258, 300, 885, 183 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.