GCD of 156, 108, 222, 842 Calculator

Given Input numbers are 156, 108, 222, 842

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

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 156, 108, 222, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 108, 222, 842 is 2.

Therefore, GCD of numbers 156, 108, 222, 842 is 2

Given Input Data is 156, 108, 222, 842

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

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 842 is 2 x 421

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(156, 108) = 1404

GCD(156, 108) = ( 156 x 108 ) / 1404

GCD(156, 108) = 16848 / 1404

GCD(156, 108) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 222

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

LCM(12, 222) = 444

GCD(12, 222) = ( 12 x 222 ) / 444

GCD(12, 222) = 2664 / 444

GCD(12, 222) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 842

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

LCM(6, 842) = 2526

GCD(6, 842) = ( 6 x 842 ) / 2526

GCD(6, 842) = 5052 / 2526

GCD(6, 842) = 2

GCD of 156, 108, 222, 842 is 2

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1. What is the GCD of 156, 108, 222, 842?

GCD of 156, 108, 222, 842 is 2

2. Where do I get the detailed procedure to find GCD of 156, 108, 222, 842?

You can find a detailed procedure to find GCD of 156, 108, 222, 842 on our page.

3. How to find GCD of 156, 108, 222, 842 on a calculator?

You can find the GCD of 156, 108, 222, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.