GCD of 891, 249, 166 Calculator

Given Input numbers are 891, 249, 166

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

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 249

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

1, 3, 83, 249

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Greatest Common Divisior

We found the divisors of 891, 249, 166 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 891, 249, 166 is 1.

Therefore, GCD of numbers 891, 249, 166 is 1

Given Input Data is 891, 249, 166

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

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 249 is 3 x 83

Prime Factorization of 166 is 2 x 83

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(891, 249) = 73953

GCD(891, 249) = ( 891 x 249 ) / 73953

GCD(891, 249) = 221859 / 73953

GCD(891, 249) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 166

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

LCM(3, 166) = 498

GCD(3, 166) = ( 3 x 166 ) / 498

GCD(3, 166) = 498 / 498

GCD(3, 166) = 1

GCD of 891, 249, 166 is 1

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1. What is the GCD of 891, 249, 166?

GCD of 891, 249, 166 is 1

2. Where do I get the detailed procedure to find GCD of 891, 249, 166?

You can find a detailed procedure to find GCD of 891, 249, 166 on our page.

3. How to find GCD of 891, 249, 166 on a calculator?

You can find the GCD of 891, 249, 166 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.