GCD of 989, 321, 840 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 989, 321, 840 i.e. 1 largest integer that divides all the numbers equally.

GCD of 989, 321, 840 is 1

GCD(989, 321, 840) = 1

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

GCD of

GCD of numbers 989, 321, 840 is 1

GCD(989, 321, 840) = 1

GCD of 989,321,840 Calculator

GCDof 989,321,840 is 1

Given Input numbers are 989, 321, 840

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

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Greatest Common Divisior

We found the divisors of 989, 321, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 321, 840 is 1.

Therefore, GCD of numbers 989, 321, 840 is 1

Finding GCD of 989, 321, 840 using Prime Factorization

Given Input Data is 989, 321, 840

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

Prime Factorization of 989 is 23 x 43

Prime Factorization of 321 is 3 x 107

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

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

Finding GCD of 989, 321, 840 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(989, 321) = 317469

GCD(989, 321) = ( 989 x 321 ) / 317469

GCD(989, 321) = 317469 / 317469

GCD(989, 321) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 1

GCD of 989, 321, 840 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 989, 321, 840

1. What is the GCD of 989, 321, 840?

GCD of 989, 321, 840 is 1


2. Where do I get the detailed procedure to find GCD of 989, 321, 840?

You can find a detailed procedure to find GCD of 989, 321, 840 on our page.


3. How to find GCD of 989, 321, 840 on a calculator?

You can find the GCD of 989, 321, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.