GCD of 930, 366, 928 Calculator

Given Input numbers are 930, 366, 928

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

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

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Greatest Common Divisior

We found the divisors of 930, 366, 928 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 930, 366, 928 is 2.

Therefore, GCD of numbers 930, 366, 928 is 2

Given Input Data is 930, 366, 928

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

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

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(930, 366) = 56730

GCD(930, 366) = ( 930 x 366 ) / 56730

GCD(930, 366) = 340380 / 56730

GCD(930, 366) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 928

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

LCM(6, 928) = 2784

GCD(6, 928) = ( 6 x 928 ) / 2784

GCD(6, 928) = 5568 / 2784

GCD(6, 928) = 2

GCD of 930, 366, 928 is 2

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1. What is the GCD of 930, 366, 928?

GCD of 930, 366, 928 is 2

2. Where do I get the detailed procedure to find GCD of 930, 366, 928?

You can find a detailed procedure to find GCD of 930, 366, 928 on our page.

3. How to find GCD of 930, 366, 928 on a calculator?

You can find the GCD of 930, 366, 928 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.