GCD of 159, 322, 720, 984 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 159, 322, 720, 984 i.e. 1 largest integer that divides all the numbers equally.

GCD of 159, 322, 720, 984 is 1

GCD(159, 322, 720, 984) = 1

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

GCD of

GCD of numbers 159, 322, 720, 984 is 1

GCD(159, 322, 720, 984) = 1

GCD of 159,322,720,984 Calculator

GCDof 159,322,720,984 is 1

Given Input numbers are 159, 322, 720, 984

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

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

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

Greatest Common Divisior

We found the divisors of 159, 322, 720, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 322, 720, 984 is 1.

Therefore, GCD of numbers 159, 322, 720, 984 is 1

Finding GCD of 159, 322, 720, 984 using Prime Factorization

Given Input Data is 159, 322, 720, 984

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

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

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

Finding GCD of 159, 322, 720, 984 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(159, 322) = 51198

GCD(159, 322) = ( 159 x 322 ) / 51198

GCD(159, 322) = 51198 / 51198

GCD(159, 322) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 720

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

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

GCD(1, 720) = 720 / 720

GCD(1, 720) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 984

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

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

GCD(1, 984) = 984 / 984

GCD(1, 984) = 1

GCD of 159, 322, 720, 984 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 159, 322, 720, 984

1. What is the GCD of 159, 322, 720, 984?

GCD of 159, 322, 720, 984 is 1


2. Where do I get the detailed procedure to find GCD of 159, 322, 720, 984?

You can find a detailed procedure to find GCD of 159, 322, 720, 984 on our page.


3. How to find GCD of 159, 322, 720, 984 on a calculator?

You can find the GCD of 159, 322, 720, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.