GCD of 928, 438, 900 Calculator

Given Input numbers are 928, 438, 900

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 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 928, 438, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 438, 900 is 2.

Therefore, GCD of numbers 928, 438, 900 is 2

Given Input Data is 928, 438, 900

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 438 is 2 x 3 x 73

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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, 438) = 203232

GCD(928, 438) = ( 928 x 438 ) / 203232

GCD(928, 438) = 406464 / 203232

GCD(928, 438) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 900

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

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

GCD(2, 900) = 1800 / 900

GCD(2, 900) = 2

GCD of 928, 438, 900 is 2

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• GCD of 459, 514, 397
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1. What is the GCD of 928, 438, 900?

GCD of 928, 438, 900 is 2

2. Where do I get the detailed procedure to find GCD of 928, 438, 900?

You can find a detailed procedure to find GCD of 928, 438, 900 on our page.

3. How to find GCD of 928, 438, 900 on a calculator?

You can find the GCD of 928, 438, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.