GCD of 891, 393, 14, 215 Calculator

Given Input numbers are 891, 393, 14, 215

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 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Greatest Common Divisior

We found the divisors of 891, 393, 14, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 891, 393, 14, 215 is 1.

Therefore, GCD of numbers 891, 393, 14, 215 is 1

Given Input Data is 891, 393, 14, 215

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 393 is 3 x 131

Prime Factorization of 14 is 2 x 7

Prime Factorization of 215 is 5 x 43

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, 393) = 116721

GCD(891, 393) = ( 891 x 393 ) / 116721

GCD(891, 393) = 350163 / 116721

GCD(891, 393) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 14

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

LCM(3, 14) = 42

GCD(3, 14) = ( 3 x 14 ) / 42

GCD(3, 14) = 42 / 42

GCD(3, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 215

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

LCM(1, 215) = 215

GCD(1, 215) = ( 1 x 215 ) / 215

GCD(1, 215) = 215 / 215

GCD(1, 215) = 1

GCD of 891, 393, 14, 215 is 1

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1. What is the GCD of 891, 393, 14, 215?

GCD of 891, 393, 14, 215 is 1

2. Where do I get the detailed procedure to find GCD of 891, 393, 14, 215?

You can find a detailed procedure to find GCD of 891, 393, 14, 215 on our page.

3. How to find GCD of 891, 393, 14, 215 on a calculator?

You can find the GCD of 891, 393, 14, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.