GCD of 259, 216, 678, 184 Calculator

Given Input numbers are 259, 216, 678, 184

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

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 678

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

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

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Greatest Common Divisior

We found the divisors of 259, 216, 678, 184 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 216, 678, 184 is 1.

Therefore, GCD of numbers 259, 216, 678, 184 is 1

Given Input Data is 259, 216, 678, 184

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

Prime Factorization of 259 is 7 x 37

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 184 is 2 x 2 x 2 x 23

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(259, 216) = 55944

GCD(259, 216) = ( 259 x 216 ) / 55944

GCD(259, 216) = 55944 / 55944

GCD(259, 216) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 184

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

LCM(1, 184) = 184

GCD(1, 184) = ( 1 x 184 ) / 184

GCD(1, 184) = 184 / 184

GCD(1, 184) = 1

GCD of 259, 216, 678, 184 is 1

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1. What is the GCD of 259, 216, 678, 184?

GCD of 259, 216, 678, 184 is 1

2. Where do I get the detailed procedure to find GCD of 259, 216, 678, 184?

You can find a detailed procedure to find GCD of 259, 216, 678, 184 on our page.

3. How to find GCD of 259, 216, 678, 184 on a calculator?

You can find the GCD of 259, 216, 678, 184 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.