GCD of 187, 905, 56, 687 Calculator

Given Input numbers are 187, 905, 56, 687

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 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 187, 905, 56, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 187, 905, 56, 687 is 1.

Therefore, GCD of numbers 187, 905, 56, 687 is 1

Given Input Data is 187, 905, 56, 687

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

Prime Factorization of 187 is 11 x 17

Prime Factorization of 905 is 5 x 181

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 687 is 3 x 229

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, 905) = 169235

GCD(187, 905) = ( 187 x 905 ) / 169235

GCD(187, 905) = 169235 / 169235

GCD(187, 905) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 687

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

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

GCD(1, 687) = 687 / 687

GCD(1, 687) = 1

GCD of 187, 905, 56, 687 is 1

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1. What is the GCD of 187, 905, 56, 687?

GCD of 187, 905, 56, 687 is 1

2. Where do I get the detailed procedure to find GCD of 187, 905, 56, 687?

You can find a detailed procedure to find GCD of 187, 905, 56, 687 on our page.

3. How to find GCD of 187, 905, 56, 687 on a calculator?

You can find the GCD of 187, 905, 56, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.