GCD of 216, 904, 466, 659 Calculator

Given Input numbers are 216, 904, 466, 659

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

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 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Greatest Common Divisior

We found the divisors of 216, 904, 466, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 904, 466, 659 is 1.

Therefore, GCD of numbers 216, 904, 466, 659 is 1

Given Input Data is 216, 904, 466, 659

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

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

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 466 is 2 x 233

Prime Factorization of 659 is 659

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(216, 904) = 24408

GCD(216, 904) = ( 216 x 904 ) / 24408

GCD(216, 904) = 195264 / 24408

GCD(216, 904) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 466

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

LCM(8, 466) = 1864

GCD(8, 466) = ( 8 x 466 ) / 1864

GCD(8, 466) = 3728 / 1864

GCD(8, 466) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 659

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

LCM(2, 659) = 1318

GCD(2, 659) = ( 2 x 659 ) / 1318

GCD(2, 659) = 1318 / 1318

GCD(2, 659) = 1

GCD of 216, 904, 466, 659 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 245, 163, 628, 596
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• GCD of 723, 895, 428, 105
• GCD of 363, 464, 367, 312

1. What is the GCD of 216, 904, 466, 659?

GCD of 216, 904, 466, 659 is 1

2. Where do I get the detailed procedure to find GCD of 216, 904, 466, 659?

You can find a detailed procedure to find GCD of 216, 904, 466, 659 on our page.

3. How to find GCD of 216, 904, 466, 659 on a calculator?

You can find the GCD of 216, 904, 466, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.