GCD of 234, 116, 285, 852 Calculator

Given Input numbers are 234, 116, 285, 852

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

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

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

Greatest Common Divisior

We found the divisors of 234, 116, 285, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 116, 285, 852 is 1.

Therefore, GCD of numbers 234, 116, 285, 852 is 1

Given Input Data is 234, 116, 285, 852

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

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 285 is 3 x 5 x 19

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

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(234, 116) = 13572

GCD(234, 116) = ( 234 x 116 ) / 13572

GCD(234, 116) = 27144 / 13572

GCD(234, 116) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 285

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

LCM(2, 285) = 570

GCD(2, 285) = ( 2 x 285 ) / 570

GCD(2, 285) = 570 / 570

GCD(2, 285) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 852

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

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

GCD(1, 852) = 852 / 852

GCD(1, 852) = 1

GCD of 234, 116, 285, 852 is 1

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1. What is the GCD of 234, 116, 285, 852?

GCD of 234, 116, 285, 852 is 1

2. Where do I get the detailed procedure to find GCD of 234, 116, 285, 852?

You can find a detailed procedure to find GCD of 234, 116, 285, 852 on our page.

3. How to find GCD of 234, 116, 285, 852 on a calculator?

You can find the GCD of 234, 116, 285, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.