GCD of 460, 121, 240 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 460, 121, 240 i.e. 1 largest integer that divides all the numbers equally.

GCD of 460, 121, 240 is 1

GCD(460, 121, 240) = 1

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

GCD of

GCD of numbers 460, 121, 240 is 1

GCD(460, 121, 240) = 1

GCD of 460,121,240 Calculator

GCDof 460,121,240 is 1

Given Input numbers are 460, 121, 240

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

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

Greatest Common Divisior

We found the divisors of 460, 121, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 121, 240 is 1.

Therefore, GCD of numbers 460, 121, 240 is 1

Finding GCD of 460, 121, 240 using Prime Factorization

Given Input Data is 460, 121, 240

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 121 is 11 x 11

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

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

Finding GCD of 460, 121, 240 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(460, 121) = 55660

GCD(460, 121) = ( 460 x 121 ) / 55660

GCD(460, 121) = 55660 / 55660

GCD(460, 121) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 240

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

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

GCD(1, 240) = 240 / 240

GCD(1, 240) = 1

GCD of 460, 121, 240 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 460, 121, 240

1. What is the GCD of 460, 121, 240?

GCD of 460, 121, 240 is 1


2. Where do I get the detailed procedure to find GCD of 460, 121, 240?

You can find a detailed procedure to find GCD of 460, 121, 240 on our page.


3. How to find GCD of 460, 121, 240 on a calculator?

You can find the GCD of 460, 121, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.