GCD of 852, 459, 798, 678 Calculator

Given Input numbers are 852, 459, 798, 678

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

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

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 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Greatest Common Divisior

We found the divisors of 852, 459, 798, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 459, 798, 678 is 3.

Therefore, GCD of numbers 852, 459, 798, 678 is 3

Given Input Data is 852, 459, 798, 678

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

Prime Factorization of 852 is 2 x 2 x 3 x 71

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

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 678 is 2 x 3 x 113

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(852, 459) = 130356

GCD(852, 459) = ( 852 x 459 ) / 130356

GCD(852, 459) = 391068 / 130356

GCD(852, 459) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 798

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

LCM(3, 798) = 798

GCD(3, 798) = ( 3 x 798 ) / 798

GCD(3, 798) = 2394 / 798

GCD(3, 798) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 678

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

LCM(3, 678) = 678

GCD(3, 678) = ( 3 x 678 ) / 678

GCD(3, 678) = 2034 / 678

GCD(3, 678) = 3

GCD of 852, 459, 798, 678 is 3

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1. What is the GCD of 852, 459, 798, 678?

GCD of 852, 459, 798, 678 is 3

2. Where do I get the detailed procedure to find GCD of 852, 459, 798, 678?

You can find a detailed procedure to find GCD of 852, 459, 798, 678 on our page.

3. How to find GCD of 852, 459, 798, 678 on a calculator?

You can find the GCD of 852, 459, 798, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.