GCD of 234, 656, 272 Calculator

Given Input numbers are 234, 656, 272

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 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 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Greatest Common Divisior

We found the divisors of 234, 656, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 656, 272 is 2.

Therefore, GCD of numbers 234, 656, 272 is 2

Given Input Data is 234, 656, 272

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 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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(234, 656) = 76752

GCD(234, 656) = ( 234 x 656 ) / 76752

GCD(234, 656) = 153504 / 76752

GCD(234, 656) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 272

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

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

GCD(2, 272) = 544 / 272

GCD(2, 272) = 2

GCD of 234, 656, 272 is 2

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1. What is the GCD of 234, 656, 272?

GCD of 234, 656, 272 is 2

2. Where do I get the detailed procedure to find GCD of 234, 656, 272?

You can find a detailed procedure to find GCD of 234, 656, 272 on our page.

3. How to find GCD of 234, 656, 272 on a calculator?

You can find the GCD of 234, 656, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.