GCD of 845, 459, 40, 420 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 845, 459, 40, 420 i.e. 1 largest integer that divides all the numbers equally.

GCD of 845, 459, 40, 420 is 1

GCD(845, 459, 40, 420) = 1

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

GCD of

GCD of numbers 845, 459, 40, 420 is 1

GCD(845, 459, 40, 420) = 1

GCD of 845,459,40,420 Calculator

GCDof 845,459,40,420 is 1

Given Input numbers are 845, 459, 40, 420

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

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 845, 459, 40, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 845, 459, 40, 420 is 1.

Therefore, GCD of numbers 845, 459, 40, 420 is 1

Finding GCD of 845, 459, 40, 420 using Prime Factorization

Given Input Data is 845, 459, 40, 420

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

Prime Factorization of 845 is 5 x 13 x 13

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

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

Finding GCD of 845, 459, 40, 420 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(845, 459) = 387855

GCD(845, 459) = ( 845 x 459 ) / 387855

GCD(845, 459) = 387855 / 387855

GCD(845, 459) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

GCD of 845, 459, 40, 420 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 845, 459, 40, 420

1. What is the GCD of 845, 459, 40, 420?

GCD of 845, 459, 40, 420 is 1


2. Where do I get the detailed procedure to find GCD of 845, 459, 40, 420?

You can find a detailed procedure to find GCD of 845, 459, 40, 420 on our page.


3. How to find GCD of 845, 459, 40, 420 on a calculator?

You can find the GCD of 845, 459, 40, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.