GCD of 984, 111, 706 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 984, 111, 706 i.e. 1 largest integer that divides all the numbers equally.

GCD of 984, 111, 706 is 1

GCD(984, 111, 706) = 1

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

GCD of

GCD of numbers 984, 111, 706 is 1

GCD(984, 111, 706) = 1

GCD of 984,111,706 Calculator

GCDof 984,111,706 is 1

Given Input numbers are 984, 111, 706

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 984, 111, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 111, 706 is 1.

Therefore, GCD of numbers 984, 111, 706 is 1

Finding GCD of 984, 111, 706 using Prime Factorization

Given Input Data is 984, 111, 706

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 111 is 3 x 37

Prime Factorization of 706 is 2 x 353

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

Finding GCD of 984, 111, 706 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(984, 111) = 36408

GCD(984, 111) = ( 984 x 111 ) / 36408

GCD(984, 111) = 109224 / 36408

GCD(984, 111) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 706

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

LCM(3, 706) = 2118

GCD(3, 706) = ( 3 x 706 ) / 2118

GCD(3, 706) = 2118 / 2118

GCD(3, 706) = 1

GCD of 984, 111, 706 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 984, 111, 706

1. What is the GCD of 984, 111, 706?

GCD of 984, 111, 706 is 1


2. Where do I get the detailed procedure to find GCD of 984, 111, 706?

You can find a detailed procedure to find GCD of 984, 111, 706 on our page.


3. How to find GCD of 984, 111, 706 on a calculator?

You can find the GCD of 984, 111, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.