GCD of 706, 656, 68 Calculator

Given Input numbers are 706, 656, 68

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

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 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Greatest Common Divisior

We found the divisors of 706, 656, 68 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 656, 68 is 2.

Therefore, GCD of numbers 706, 656, 68 is 2

Given Input Data is 706, 656, 68

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

Prime Factorization of 706 is 2 x 353

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

Prime Factorization of 68 is 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(706, 656) = 231568

GCD(706, 656) = ( 706 x 656 ) / 231568

GCD(706, 656) = 463136 / 231568

GCD(706, 656) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 68

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

LCM(2, 68) = 68

GCD(2, 68) = ( 2 x 68 ) / 68

GCD(2, 68) = 136 / 68

GCD(2, 68) = 2

GCD of 706, 656, 68 is 2

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1. What is the GCD of 706, 656, 68?

GCD of 706, 656, 68 is 2

2. Where do I get the detailed procedure to find GCD of 706, 656, 68?

You can find a detailed procedure to find GCD of 706, 656, 68 on our page.

3. How to find GCD of 706, 656, 68 on a calculator?

You can find the GCD of 706, 656, 68 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.