GCD of 828, 459, 689, 878 Calculator

Given Input numbers are 828, 459, 689, 878

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

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

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 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Greatest Common Divisior

We found the divisors of 828, 459, 689, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 459, 689, 878 is 1.

Therefore, GCD of numbers 828, 459, 689, 878 is 1

Given Input Data is 828, 459, 689, 878

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

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

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 878 is 2 x 439

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(828, 459) = 42228

GCD(828, 459) = ( 828 x 459 ) / 42228

GCD(828, 459) = 380052 / 42228

GCD(828, 459) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 689

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

LCM(9, 689) = 6201

GCD(9, 689) = ( 9 x 689 ) / 6201

GCD(9, 689) = 6201 / 6201

GCD(9, 689) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 878

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

LCM(1, 878) = 878

GCD(1, 878) = ( 1 x 878 ) / 878

GCD(1, 878) = 878 / 878

GCD(1, 878) = 1

GCD of 828, 459, 689, 878 is 1

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1. What is the GCD of 828, 459, 689, 878?

GCD of 828, 459, 689, 878 is 1

2. Where do I get the detailed procedure to find GCD of 828, 459, 689, 878?

You can find a detailed procedure to find GCD of 828, 459, 689, 878 on our page.

3. How to find GCD of 828, 459, 689, 878 on a calculator?

You can find the GCD of 828, 459, 689, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.