GCD of 399, 891, 217, 198 Calculator

Given Input numbers are 399, 891, 217, 198

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

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

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 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Greatest Common Divisior

We found the divisors of 399, 891, 217, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 891, 217, 198 is 1.

Therefore, GCD of numbers 399, 891, 217, 198 is 1

Given Input Data is 399, 891, 217, 198

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

Prime Factorization of 399 is 3 x 7 x 19

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 198 is 2 x 3 x 3 x 11

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(399, 891) = 118503

GCD(399, 891) = ( 399 x 891 ) / 118503

GCD(399, 891) = 355509 / 118503

GCD(399, 891) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 217

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

LCM(3, 217) = 651

GCD(3, 217) = ( 3 x 217 ) / 651

GCD(3, 217) = 651 / 651

GCD(3, 217) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 399, 891, 217, 198 is 1

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1. What is the GCD of 399, 891, 217, 198?

GCD of 399, 891, 217, 198 is 1

2. Where do I get the detailed procedure to find GCD of 399, 891, 217, 198?

You can find a detailed procedure to find GCD of 399, 891, 217, 198 on our page.

3. How to find GCD of 399, 891, 217, 198 on a calculator?

You can find the GCD of 399, 891, 217, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.