GCD of 824, 853, 459, 428 Calculator

Given Input numbers are 824, 853, 459, 428

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Greatest Common Divisior

We found the divisors of 824, 853, 459, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 853, 459, 428 is 1.

Therefore, GCD of numbers 824, 853, 459, 428 is 1

Given Input Data is 824, 853, 459, 428

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 853 is 853

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 428 is 2 x 2 x 107

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(824, 853) = 702872

GCD(824, 853) = ( 824 x 853 ) / 702872

GCD(824, 853) = 702872 / 702872

GCD(824, 853) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

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

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

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

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 1

GCD of 824, 853, 459, 428 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 634, 810, 916, 484
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• GCD of 597, 785, 420, 471
• GCD of 724, 575, 242, 928
• GCD of 451, 486, 555, 281

1. What is the GCD of 824, 853, 459, 428?

GCD of 824, 853, 459, 428 is 1

2. Where do I get the detailed procedure to find GCD of 824, 853, 459, 428?

You can find a detailed procedure to find GCD of 824, 853, 459, 428 on our page.

3. How to find GCD of 824, 853, 459, 428 on a calculator?

You can find the GCD of 824, 853, 459, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.