GCD of 982, 346, 17, 311 Calculator

Given Input numbers are 982, 346, 17, 311

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

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Greatest Common Divisior

We found the divisors of 982, 346, 17, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 346, 17, 311 is 1.

Therefore, GCD of numbers 982, 346, 17, 311 is 1

Given Input Data is 982, 346, 17, 311

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 346 is 2 x 173

Prime Factorization of 17 is 17

Prime Factorization of 311 is 311

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(982, 346) = 169886

GCD(982, 346) = ( 982 x 346 ) / 169886

GCD(982, 346) = 339772 / 169886

GCD(982, 346) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 17

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

LCM(2, 17) = 34

GCD(2, 17) = ( 2 x 17 ) / 34

GCD(2, 17) = 34 / 34

GCD(2, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 311

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

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

GCD(1, 311) = 311 / 311

GCD(1, 311) = 1

GCD of 982, 346, 17, 311 is 1

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1. What is the GCD of 982, 346, 17, 311?

GCD of 982, 346, 17, 311 is 1

2. Where do I get the detailed procedure to find GCD of 982, 346, 17, 311?

You can find a detailed procedure to find GCD of 982, 346, 17, 311 on our page.

3. How to find GCD of 982, 346, 17, 311 on a calculator?

You can find the GCD of 982, 346, 17, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.