GCD of 656, 188, 10, 106 Calculator

Given Input numbers are 656, 188, 10, 106

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 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 656, 188, 10, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 188, 10, 106 is 2.

Therefore, GCD of numbers 656, 188, 10, 106 is 2

Given Input Data is 656, 188, 10, 106

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 188 is 2 x 2 x 47

Prime Factorization of 10 is 2 x 5

Prime Factorization of 106 is 2 x 53

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, 188) = 30832

GCD(656, 188) = ( 656 x 188 ) / 30832

GCD(656, 188) = 123328 / 30832

GCD(656, 188) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 10

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

LCM(4, 10) = 20

GCD(4, 10) = ( 4 x 10 ) / 20

GCD(4, 10) = 40 / 20

GCD(4, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 106

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

LCM(2, 106) = 106

GCD(2, 106) = ( 2 x 106 ) / 106

GCD(2, 106) = 212 / 106

GCD(2, 106) = 2

GCD of 656, 188, 10, 106 is 2

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1. What is the GCD of 656, 188, 10, 106?

GCD of 656, 188, 10, 106 is 2

2. Where do I get the detailed procedure to find GCD of 656, 188, 10, 106?

You can find a detailed procedure to find GCD of 656, 188, 10, 106 on our page.

3. How to find GCD of 656, 188, 10, 106 on a calculator?

You can find the GCD of 656, 188, 10, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.