GCD of 916, 438, 284 Calculator

Given Input numbers are 916, 438, 284

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

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 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 916, 438, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 438, 284 is 2.

Therefore, GCD of numbers 916, 438, 284 is 2

Given Input Data is 916, 438, 284

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 284 is 2 x 2 x 71

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(916, 438) = 200604

GCD(916, 438) = ( 916 x 438 ) / 200604

GCD(916, 438) = 401208 / 200604

GCD(916, 438) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 284

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

LCM(2, 284) = 284

GCD(2, 284) = ( 2 x 284 ) / 284

GCD(2, 284) = 568 / 284

GCD(2, 284) = 2

GCD of 916, 438, 284 is 2

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1. What is the GCD of 916, 438, 284?

GCD of 916, 438, 284 is 2

2. Where do I get the detailed procedure to find GCD of 916, 438, 284?

You can find a detailed procedure to find GCD of 916, 438, 284 on our page.

3. How to find GCD of 916, 438, 284 on a calculator?

You can find the GCD of 916, 438, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.