GCD of 240, 959, 22, 495 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, 959, 22, 495 i.e. 1 largest integer that divides all the numbers equally.

GCD of 240, 959, 22, 495 is 1

GCD(240, 959, 22, 495) = 1

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

GCD of

GCD of numbers 240, 959, 22, 495 is 1

GCD(240, 959, 22, 495) = 1

GCD of 240,959,22,495 Calculator

GCDof 240,959,22,495 is 1

Given Input numbers are 240, 959, 22, 495

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 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Greatest Common Divisior

We found the divisors of 240, 959, 22, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 959, 22, 495 is 1.

Therefore, GCD of numbers 240, 959, 22, 495 is 1

Finding GCD of 240, 959, 22, 495 using Prime Factorization

Given Input Data is 240, 959, 22, 495

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 959 is 7 x 137

Prime Factorization of 22 is 2 x 11

Prime Factorization of 495 is 3 x 3 x 5 x 11

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

Finding GCD of 240, 959, 22, 495 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, 959) = 230160

GCD(240, 959) = ( 240 x 959 ) / 230160

GCD(240, 959) = 230160 / 230160

GCD(240, 959) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 495

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

LCM(1, 495) = 495

GCD(1, 495) = ( 1 x 495 ) / 495

GCD(1, 495) = 495 / 495

GCD(1, 495) = 1

GCD of 240, 959, 22, 495 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 240, 959, 22, 495

1. What is the GCD of 240, 959, 22, 495?

GCD of 240, 959, 22, 495 is 1


2. Where do I get the detailed procedure to find GCD of 240, 959, 22, 495?

You can find a detailed procedure to find GCD of 240, 959, 22, 495 on our page.


3. How to find GCD of 240, 959, 22, 495 on a calculator?

You can find the GCD of 240, 959, 22, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.