GCD of 392, 458, 500, 226 Calculator

Given Input numbers are 392, 458, 500, 226

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

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 226

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

1, 2, 113, 226

Greatest Common Divisior

We found the divisors of 392, 458, 500, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 458, 500, 226 is 2.

Therefore, GCD of numbers 392, 458, 500, 226 is 2

Given Input Data is 392, 458, 500, 226

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

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 458 is 2 x 229

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 226 is 2 x 113

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(392, 458) = 89768

GCD(392, 458) = ( 392 x 458 ) / 89768

GCD(392, 458) = 179536 / 89768

GCD(392, 458) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 500

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

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

GCD(2, 500) = 1000 / 500

GCD(2, 500) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 226

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

LCM(2, 226) = 226

GCD(2, 226) = ( 2 x 226 ) / 226

GCD(2, 226) = 452 / 226

GCD(2, 226) = 2

GCD of 392, 458, 500, 226 is 2

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1. What is the GCD of 392, 458, 500, 226?

GCD of 392, 458, 500, 226 is 2

2. Where do I get the detailed procedure to find GCD of 392, 458, 500, 226?

You can find a detailed procedure to find GCD of 392, 458, 500, 226 on our page.

3. How to find GCD of 392, 458, 500, 226 on a calculator?

You can find the GCD of 392, 458, 500, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.