GCD of 240, 153, 86, 330 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 240, 153, 86, 330 i.e. 1 largest integer that divides all the numbers equally.

GCD of 240, 153, 86, 330 is 1

GCD(240, 153, 86, 330) = 1

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

GCD of

GCD of numbers 240, 153, 86, 330 is 1

GCD(240, 153, 86, 330) = 1

GCD of 240,153,86,330 Calculator

GCDof 240,153,86,330 is 1

Given Input numbers are 240, 153, 86, 330

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Greatest Common Divisior

We found the divisors of 240, 153, 86, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 153, 86, 330 is 1.

Therefore, GCD of numbers 240, 153, 86, 330 is 1

Finding GCD of 240, 153, 86, 330 using Prime Factorization

Given Input Data is 240, 153, 86, 330

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 86 is 2 x 43

Prime Factorization of 330 is 2 x 3 x 5 x 11

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

Finding GCD of 240, 153, 86, 330 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(240, 153) = 12240

GCD(240, 153) = ( 240 x 153 ) / 12240

GCD(240, 153) = 36720 / 12240

GCD(240, 153) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 86

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

LCM(3, 86) = 258

GCD(3, 86) = ( 3 x 86 ) / 258

GCD(3, 86) = 258 / 258

GCD(3, 86) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 330

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

LCM(1, 330) = 330

GCD(1, 330) = ( 1 x 330 ) / 330

GCD(1, 330) = 330 / 330

GCD(1, 330) = 1

GCD of 240, 153, 86, 330 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 240, 153, 86, 330

1. What is the GCD of 240, 153, 86, 330?

GCD of 240, 153, 86, 330 is 1


2. Where do I get the detailed procedure to find GCD of 240, 153, 86, 330?

You can find a detailed procedure to find GCD of 240, 153, 86, 330 on our page.


3. How to find GCD of 240, 153, 86, 330 on a calculator?

You can find the GCD of 240, 153, 86, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.