GCD of 187, 891, 224 Calculator

Given Input numbers are 187, 891, 224

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

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

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 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Greatest Common Divisior

We found the divisors of 187, 891, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 187, 891, 224 is 1.

Therefore, GCD of numbers 187, 891, 224 is 1

Given Input Data is 187, 891, 224

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

Prime Factorization of 187 is 11 x 17

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

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

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(187, 891) = 15147

GCD(187, 891) = ( 187 x 891 ) / 15147

GCD(187, 891) = 166617 / 15147

GCD(187, 891) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 224

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

LCM(11, 224) = 2464

GCD(11, 224) = ( 11 x 224 ) / 2464

GCD(11, 224) = 2464 / 2464

GCD(11, 224) = 1

GCD of 187, 891, 224 is 1

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1. What is the GCD of 187, 891, 224?

GCD of 187, 891, 224 is 1

2. Where do I get the detailed procedure to find GCD of 187, 891, 224?

You can find a detailed procedure to find GCD of 187, 891, 224 on our page.

3. How to find GCD of 187, 891, 224 on a calculator?

You can find the GCD of 187, 891, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.