GCD of 16, 214, 656, 234 Calculator

Given Input numbers are 16, 214, 656, 234

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

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

Greatest Common Divisior

We found the divisors of 16, 214, 656, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 214, 656, 234 is 2.

Therefore, GCD of numbers 16, 214, 656, 234 is 2

Given Input Data is 16, 214, 656, 234

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 214 is 2 x 107

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(16, 214) = 1712

GCD(16, 214) = ( 16 x 214 ) / 1712

GCD(16, 214) = 3424 / 1712

GCD(16, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 656

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

LCM(2, 656) = 656

GCD(2, 656) = ( 2 x 656 ) / 656

GCD(2, 656) = 1312 / 656

GCD(2, 656) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 234

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

LCM(2, 234) = 234

GCD(2, 234) = ( 2 x 234 ) / 234

GCD(2, 234) = 468 / 234

GCD(2, 234) = 2

GCD of 16, 214, 656, 234 is 2

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• GCD of 12, 296, 614, 194
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1. What is the GCD of 16, 214, 656, 234?

GCD of 16, 214, 656, 234 is 2

2. Where do I get the detailed procedure to find GCD of 16, 214, 656, 234?

You can find a detailed procedure to find GCD of 16, 214, 656, 234 on our page.

3. How to find GCD of 16, 214, 656, 234 on a calculator?

You can find the GCD of 16, 214, 656, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.