GCD of 905, 855, 684 Calculator

Given Input numbers are 905, 855, 684

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

Divisors of 905

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

1, 5, 181, 905

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 905, 855, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 905, 855, 684 is 1.

Therefore, GCD of numbers 905, 855, 684 is 1

Given Input Data is 905, 855, 684

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

Prime Factorization of 905 is 5 x 181

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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(905, 855) = 154755

GCD(905, 855) = ( 905 x 855 ) / 154755

GCD(905, 855) = 773775 / 154755

GCD(905, 855) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 684

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

LCM(5, 684) = 3420

GCD(5, 684) = ( 5 x 684 ) / 3420

GCD(5, 684) = 3420 / 3420

GCD(5, 684) = 1

GCD of 905, 855, 684 is 1

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1. What is the GCD of 905, 855, 684?

GCD of 905, 855, 684 is 1

2. Where do I get the detailed procedure to find GCD of 905, 855, 684?

You can find a detailed procedure to find GCD of 905, 855, 684 on our page.

3. How to find GCD of 905, 855, 684 on a calculator?

You can find the GCD of 905, 855, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.