GCD of 840, 381, 872, 544 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 840, 381, 872, 544 i.e. 1 largest integer that divides all the numbers equally.

GCD of 840, 381, 872, 544 is 1

GCD(840, 381, 872, 544) = 1

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

GCD of

GCD of numbers 840, 381, 872, 544 is 1

GCD(840, 381, 872, 544) = 1

GCD of 840,381,872,544 Calculator

GCDof 840,381,872,544 is 1

Given Input numbers are 840, 381, 872, 544

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

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Greatest Common Divisior

We found the divisors of 840, 381, 872, 544 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 381, 872, 544 is 1.

Therefore, GCD of numbers 840, 381, 872, 544 is 1

Finding GCD of 840, 381, 872, 544 using Prime Factorization

Given Input Data is 840, 381, 872, 544

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

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 381 is 3 x 127

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

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

Finding GCD of 840, 381, 872, 544 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(840, 381) = 106680

GCD(840, 381) = ( 840 x 381 ) / 106680

GCD(840, 381) = 320040 / 106680

GCD(840, 381) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 872

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

LCM(3, 872) = 2616

GCD(3, 872) = ( 3 x 872 ) / 2616

GCD(3, 872) = 2616 / 2616

GCD(3, 872) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 544

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

LCM(1, 544) = 544

GCD(1, 544) = ( 1 x 544 ) / 544

GCD(1, 544) = 544 / 544

GCD(1, 544) = 1

GCD of 840, 381, 872, 544 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 840, 381, 872, 544

1. What is the GCD of 840, 381, 872, 544?

GCD of 840, 381, 872, 544 is 1


2. Where do I get the detailed procedure to find GCD of 840, 381, 872, 544?

You can find a detailed procedure to find GCD of 840, 381, 872, 544 on our page.


3. How to find GCD of 840, 381, 872, 544 on a calculator?

You can find the GCD of 840, 381, 872, 544 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.