GCD of 183, 108, 906 Calculator

Given Input numbers are 183, 108, 906

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

Divisors of 183

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

1, 3, 61, 183

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 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Greatest Common Divisior

We found the divisors of 183, 108, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 183, 108, 906 is 3.

Therefore, GCD of numbers 183, 108, 906 is 3

Given Input Data is 183, 108, 906

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

Prime Factorization of 183 is 3 x 61

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

Prime Factorization of 906 is 2 x 3 x 151

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(183, 108) = 6588

GCD(183, 108) = ( 183 x 108 ) / 6588

GCD(183, 108) = 19764 / 6588

GCD(183, 108) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 906

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

LCM(3, 906) = 906

GCD(3, 906) = ( 3 x 906 ) / 906

GCD(3, 906) = 2718 / 906

GCD(3, 906) = 3

GCD of 183, 108, 906 is 3

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1. What is the GCD of 183, 108, 906?

GCD of 183, 108, 906 is 3

2. Where do I get the detailed procedure to find GCD of 183, 108, 906?

You can find a detailed procedure to find GCD of 183, 108, 906 on our page.

3. How to find GCD of 183, 108, 906 on a calculator?

You can find the GCD of 183, 108, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.