GCD of 322, 856, 959, 199 Calculator

Given Input numbers are 322, 856, 959, 199

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

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 199

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

1, 199

Greatest Common Divisior

We found the divisors of 322, 856, 959, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 856, 959, 199 is 1.

Therefore, GCD of numbers 322, 856, 959, 199 is 1

Given Input Data is 322, 856, 959, 199

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 959 is 7 x 137

Prime Factorization of 199 is 199

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(322, 856) = 137816

GCD(322, 856) = ( 322 x 856 ) / 137816

GCD(322, 856) = 275632 / 137816

GCD(322, 856) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 959

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

LCM(2, 959) = 1918

GCD(2, 959) = ( 2 x 959 ) / 1918

GCD(2, 959) = 1918 / 1918

GCD(2, 959) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 199

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

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

GCD(1, 199) = 199 / 199

GCD(1, 199) = 1

GCD of 322, 856, 959, 199 is 1

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1. What is the GCD of 322, 856, 959, 199?

GCD of 322, 856, 959, 199 is 1

2. Where do I get the detailed procedure to find GCD of 322, 856, 959, 199?

You can find a detailed procedure to find GCD of 322, 856, 959, 199 on our page.

3. How to find GCD of 322, 856, 959, 199 on a calculator?

You can find the GCD of 322, 856, 959, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.