GCD of 822, 439, 414, 728 Calculator

Given Input numbers are 822, 439, 414, 728

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

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 439

List of positive integer divisors of 439 that divides 439 without a remainder.

1, 439

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 822, 439, 414, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 439, 414, 728 is 1.

Therefore, GCD of numbers 822, 439, 414, 728 is 1

Given Input Data is 822, 439, 414, 728

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

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 439 is 439

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

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(822, 439) = 360858

GCD(822, 439) = ( 822 x 439 ) / 360858

GCD(822, 439) = 360858 / 360858

GCD(822, 439) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

GCD of 822, 439, 414, 728 is 1

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1. What is the GCD of 822, 439, 414, 728?

GCD of 822, 439, 414, 728 is 1

2. Where do I get the detailed procedure to find GCD of 822, 439, 414, 728?

You can find a detailed procedure to find GCD of 822, 439, 414, 728 on our page.

3. How to find GCD of 822, 439, 414, 728 on a calculator?

You can find the GCD of 822, 439, 414, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.