GCD of 899, 199, 984, 391 Calculator

Given Input numbers are 899, 199, 984, 391

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

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Greatest Common Divisior

We found the divisors of 899, 199, 984, 391 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 899, 199, 984, 391 is 1.

Therefore, GCD of numbers 899, 199, 984, 391 is 1

Given Input Data is 899, 199, 984, 391

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

Prime Factorization of 899 is 29 x 31

Prime Factorization of 199 is 199

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 391 is 17 x 23

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(899, 199) = 178901

GCD(899, 199) = ( 899 x 199 ) / 178901

GCD(899, 199) = 178901 / 178901

GCD(899, 199) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 984

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

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

GCD(1, 984) = 984 / 984

GCD(1, 984) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 391

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

LCM(1, 391) = 391

GCD(1, 391) = ( 1 x 391 ) / 391

GCD(1, 391) = 391 / 391

GCD(1, 391) = 1

GCD of 899, 199, 984, 391 is 1

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1. What is the GCD of 899, 199, 984, 391?

GCD of 899, 199, 984, 391 is 1

2. Where do I get the detailed procedure to find GCD of 899, 199, 984, 391?

You can find a detailed procedure to find GCD of 899, 199, 984, 391 on our page.

3. How to find GCD of 899, 199, 984, 391 on a calculator?

You can find the GCD of 899, 199, 984, 391 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.