GCD of 991, 338, 165, 199 Calculator

Given Input numbers are 991, 338, 165, 199

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

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

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 991, 338, 165, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 338, 165, 199 is 1.

Therefore, GCD of numbers 991, 338, 165, 199 is 1

Given Input Data is 991, 338, 165, 199

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

Prime Factorization of 991 is 991

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 165 is 3 x 5 x 11

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(991, 338) = 334958

GCD(991, 338) = ( 991 x 338 ) / 334958

GCD(991, 338) = 334958 / 334958

GCD(991, 338) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 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 991, 338, 165, 199 is 1

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1. What is the GCD of 991, 338, 165, 199?

GCD of 991, 338, 165, 199 is 1

2. Where do I get the detailed procedure to find GCD of 991, 338, 165, 199?

You can find a detailed procedure to find GCD of 991, 338, 165, 199 on our page.

3. How to find GCD of 991, 338, 165, 199 on a calculator?

You can find the GCD of 991, 338, 165, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.