GCD of 982, 763, 83, 216 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, 763, 83, 216 i.e. 1 largest integer that divides all the numbers equally.

GCD of 982, 763, 83, 216 is 1

GCD(982, 763, 83, 216) = 1

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

GCD of

GCD of numbers 982, 763, 83, 216 is 1

GCD(982, 763, 83, 216) = 1

GCD of 982,763,83,216 Calculator

GCDof 982,763,83,216 is 1

Given Input numbers are 982, 763, 83, 216

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 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Greatest Common Divisior

We found the divisors of 982, 763, 83, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 763, 83, 216 is 1.

Therefore, GCD of numbers 982, 763, 83, 216 is 1

Finding GCD of 982, 763, 83, 216 using Prime Factorization

Given Input Data is 982, 763, 83, 216

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 763 is 7 x 109

Prime Factorization of 83 is 83

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

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

Finding GCD of 982, 763, 83, 216 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, 763) = 749266

GCD(982, 763) = ( 982 x 763 ) / 749266

GCD(982, 763) = 749266 / 749266

GCD(982, 763) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

GCD of 982, 763, 83, 216 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 982, 763, 83, 216

1. What is the GCD of 982, 763, 83, 216?

GCD of 982, 763, 83, 216 is 1


2. Where do I get the detailed procedure to find GCD of 982, 763, 83, 216?

You can find a detailed procedure to find GCD of 982, 763, 83, 216 on our page.


3. How to find GCD of 982, 763, 83, 216 on a calculator?

You can find the GCD of 982, 763, 83, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.