GCD of 982, 162, 84, 361 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 982, 162, 84, 361 i.e. 1 largest integer that divides all the numbers equally.

GCD of 982, 162, 84, 361 is 1

GCD(982, 162, 84, 361) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 982, 162, 84, 361 is 1

GCD(982, 162, 84, 361) = 1

GCD of 982,162,84,361 Calculator

GCDof 982,162,84,361 is 1

Given Input numbers are 982, 162, 84, 361

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 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 982, 162, 84, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 162, 84, 361 is 1.

Therefore, GCD of numbers 982, 162, 84, 361 is 1

Finding GCD of 982, 162, 84, 361 using Prime Factorization

Given Input Data is 982, 162, 84, 361

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 361 is 19 x 19

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 982, 162, 84, 361 using LCM Formula

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, 162) = 79542

GCD(982, 162) = ( 982 x 162 ) / 79542

GCD(982, 162) = 159084 / 79542

GCD(982, 162) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 84

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

LCM(2, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

GCD(2, 84) = 168 / 84

GCD(2, 84) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 361

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

LCM(2, 361) = 722

GCD(2, 361) = ( 2 x 361 ) / 722

GCD(2, 361) = 722 / 722

GCD(2, 361) = 1

GCD of 982, 162, 84, 361 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 982, 162, 84, 361

1. What is the GCD of 982, 162, 84, 361?

GCD of 982, 162, 84, 361 is 1


2. Where do I get the detailed procedure to find GCD of 982, 162, 84, 361?

You can find a detailed procedure to find GCD of 982, 162, 84, 361 on our page.


3. How to find GCD of 982, 162, 84, 361 on a calculator?

You can find the GCD of 982, 162, 84, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.