GCD of 228, 165, 930 Calculator

Given Input numbers are 228, 165, 930

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

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Greatest Common Divisior

We found the divisors of 228, 165, 930 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 165, 930 is 3.

Therefore, GCD of numbers 228, 165, 930 is 3

Given Input Data is 228, 165, 930

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

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 930 is 2 x 3 x 5 x 31

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(228, 165) = 12540

GCD(228, 165) = ( 228 x 165 ) / 12540

GCD(228, 165) = 37620 / 12540

GCD(228, 165) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 930

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

LCM(3, 930) = 930

GCD(3, 930) = ( 3 x 930 ) / 930

GCD(3, 930) = 2790 / 930

GCD(3, 930) = 3

GCD of 228, 165, 930 is 3

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• GCD of 132, 917, 310
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1. What is the GCD of 228, 165, 930?

GCD of 228, 165, 930 is 3

2. Where do I get the detailed procedure to find GCD of 228, 165, 930?

You can find a detailed procedure to find GCD of 228, 165, 930 on our page.

3. How to find GCD of 228, 165, 930 on a calculator?

You can find the GCD of 228, 165, 930 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.