GCD of 458, 411, 828 Calculator

Given Input numbers are 458, 411, 828

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

Divisors of 458

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

1, 2, 229, 458

Divisors of 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 458, 411, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 458, 411, 828 is 1.

Therefore, GCD of numbers 458, 411, 828 is 1

Given Input Data is 458, 411, 828

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

Prime Factorization of 458 is 2 x 229

Prime Factorization of 411 is 3 x 137

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

The above numbers do not have any common prime factor. So GCD is 1

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(458, 411) = 188238

GCD(458, 411) = ( 458 x 411 ) / 188238

GCD(458, 411) = 188238 / 188238

GCD(458, 411) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 458, 411, 828 is 1

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1. What is the GCD of 458, 411, 828?

GCD of 458, 411, 828 is 1

2. Where do I get the detailed procedure to find GCD of 458, 411, 828?

You can find a detailed procedure to find GCD of 458, 411, 828 on our page.

3. How to find GCD of 458, 411, 828 on a calculator?

You can find the GCD of 458, 411, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.