GCD of 656, 556, 182, 682 Calculator

Given Input numbers are 656, 556, 182, 682

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

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 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Greatest Common Divisior

We found the divisors of 656, 556, 182, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 556, 182, 682 is 2.

Therefore, GCD of numbers 656, 556, 182, 682 is 2

Given Input Data is 656, 556, 182, 682

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

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

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 682 is 2 x 11 x 31

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(656, 556) = 91184

GCD(656, 556) = ( 656 x 556 ) / 91184

GCD(656, 556) = 364736 / 91184

GCD(656, 556) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 182

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

LCM(4, 182) = 364

GCD(4, 182) = ( 4 x 182 ) / 364

GCD(4, 182) = 728 / 364

GCD(4, 182) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 682

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

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

GCD(2, 682) = 1364 / 682

GCD(2, 682) = 2

GCD of 656, 556, 182, 682 is 2

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1. What is the GCD of 656, 556, 182, 682?

GCD of 656, 556, 182, 682 is 2

2. Where do I get the detailed procedure to find GCD of 656, 556, 182, 682?

You can find a detailed procedure to find GCD of 656, 556, 182, 682 on our page.

3. How to find GCD of 656, 556, 182, 682 on a calculator?

You can find the GCD of 656, 556, 182, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.