GCD of 867, 646, 30, 855 Calculator

Given Input numbers are 867, 646, 30, 855

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

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

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

Greatest Common Divisior

We found the divisors of 867, 646, 30, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 646, 30, 855 is 1.

Therefore, GCD of numbers 867, 646, 30, 855 is 1

Given Input Data is 867, 646, 30, 855

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

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 855 is 3 x 3 x 5 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(867, 646) = 32946

GCD(867, 646) = ( 867 x 646 ) / 32946

GCD(867, 646) = 560082 / 32946

GCD(867, 646) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 30

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

LCM(17, 30) = 510

GCD(17, 30) = ( 17 x 30 ) / 510

GCD(17, 30) = 510 / 510

GCD(17, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 855

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

LCM(1, 855) = 855

GCD(1, 855) = ( 1 x 855 ) / 855

GCD(1, 855) = 855 / 855

GCD(1, 855) = 1

GCD of 867, 646, 30, 855 is 1

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1. What is the GCD of 867, 646, 30, 855?

GCD of 867, 646, 30, 855 is 1

2. Where do I get the detailed procedure to find GCD of 867, 646, 30, 855?

You can find a detailed procedure to find GCD of 867, 646, 30, 855 on our page.

3. How to find GCD of 867, 646, 30, 855 on a calculator?

You can find the GCD of 867, 646, 30, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.