GCD of 249, 636, 189, 908 Calculator

Given Input numbers are 249, 636, 189, 908

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

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Greatest Common Divisior

We found the divisors of 249, 636, 189, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 636, 189, 908 is 1.

Therefore, GCD of numbers 249, 636, 189, 908 is 1

Given Input Data is 249, 636, 189, 908

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

Prime Factorization of 249 is 3 x 83

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 908 is 2 x 2 x 227

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(249, 636) = 52788

GCD(249, 636) = ( 249 x 636 ) / 52788

GCD(249, 636) = 158364 / 52788

GCD(249, 636) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 189

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

LCM(3, 189) = 189

GCD(3, 189) = ( 3 x 189 ) / 189

GCD(3, 189) = 567 / 189

GCD(3, 189) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 908

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

LCM(3, 908) = 2724

GCD(3, 908) = ( 3 x 908 ) / 2724

GCD(3, 908) = 2724 / 2724

GCD(3, 908) = 1

GCD of 249, 636, 189, 908 is 1

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1. What is the GCD of 249, 636, 189, 908?

GCD of 249, 636, 189, 908 is 1

2. Where do I get the detailed procedure to find GCD of 249, 636, 189, 908?

You can find a detailed procedure to find GCD of 249, 636, 189, 908 on our page.

3. How to find GCD of 249, 636, 189, 908 on a calculator?

You can find the GCD of 249, 636, 189, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.