GCD of 132, 208, 856, 183 Calculator

Given Input numbers are 132, 208, 856, 183

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

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Greatest Common Divisior

We found the divisors of 132, 208, 856, 183 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 208, 856, 183 is 1.

Therefore, GCD of numbers 132, 208, 856, 183 is 1

Given Input Data is 132, 208, 856, 183

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

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 183 is 3 x 61

The above numbers do not have any common prime factor. So GCD is 1

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(132, 208) = 6864

GCD(132, 208) = ( 132 x 208 ) / 6864

GCD(132, 208) = 27456 / 6864

GCD(132, 208) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 856

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

LCM(4, 856) = 856

GCD(4, 856) = ( 4 x 856 ) / 856

GCD(4, 856) = 3424 / 856

GCD(4, 856) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 183

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

LCM(4, 183) = 732

GCD(4, 183) = ( 4 x 183 ) / 732

GCD(4, 183) = 732 / 732

GCD(4, 183) = 1

GCD of 132, 208, 856, 183 is 1

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1. What is the GCD of 132, 208, 856, 183?

GCD of 132, 208, 856, 183 is 1

2. Where do I get the detailed procedure to find GCD of 132, 208, 856, 183?

You can find a detailed procedure to find GCD of 132, 208, 856, 183 on our page.

3. How to find GCD of 132, 208, 856, 183 on a calculator?

You can find the GCD of 132, 208, 856, 183 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.