GCD of 928, 226, 580 Calculator

Given Input numbers are 928, 226, 580

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

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

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Greatest Common Divisior

We found the divisors of 928, 226, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 226, 580 is 2.

Therefore, GCD of numbers 928, 226, 580 is 2

Given Input Data is 928, 226, 580

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

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 580 is 2 x 2 x 5 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(928, 226) = 104864

GCD(928, 226) = ( 928 x 226 ) / 104864

GCD(928, 226) = 209728 / 104864

GCD(928, 226) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 580

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

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

GCD(2, 580) = 1160 / 580

GCD(2, 580) = 2

GCD of 928, 226, 580 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 699, 301, 243
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• GCD of 366, 518, 157
• GCD of 301, 295, 587
• GCD of 691, 264, 739

1. What is the GCD of 928, 226, 580?

GCD of 928, 226, 580 is 2

2. Where do I get the detailed procedure to find GCD of 928, 226, 580?

You can find a detailed procedure to find GCD of 928, 226, 580 on our page.

3. How to find GCD of 928, 226, 580 on a calculator?

You can find the GCD of 928, 226, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.