GCD of 120, 705, 323 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 120, 705, 323 i.e. 1 largest integer that divides all the numbers equally.

GCD of 120, 705, 323 is 1

GCD(120, 705, 323) = 1

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

GCD of

GCD of numbers 120, 705, 323 is 1

GCD(120, 705, 323) = 1

GCD of 120,705,323 Calculator

GCDof 120,705,323 is 1

Given Input numbers are 120, 705, 323

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

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Greatest Common Divisior

We found the divisors of 120, 705, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 705, 323 is 1.

Therefore, GCD of numbers 120, 705, 323 is 1

Finding GCD of 120, 705, 323 using Prime Factorization

Given Input Data is 120, 705, 323

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

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 323 is 17 x 19

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

Finding GCD of 120, 705, 323 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(120, 705) = 5640

GCD(120, 705) = ( 120 x 705 ) / 5640

GCD(120, 705) = 84600 / 5640

GCD(120, 705) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 323

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

LCM(15, 323) = 4845

GCD(15, 323) = ( 15 x 323 ) / 4845

GCD(15, 323) = 4845 / 4845

GCD(15, 323) = 1

GCD of 120, 705, 323 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 120, 705, 323

1. What is the GCD of 120, 705, 323?

GCD of 120, 705, 323 is 1

2. Where do I get the detailed procedure to find GCD of 120, 705, 323?

You can find a detailed procedure to find GCD of 120, 705, 323 on our page.

3. How to find GCD of 120, 705, 323 on a calculator?

You can find the GCD of 120, 705, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.