GCD of 51, 837, 621, 390 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 51, 837, 621, 390 i.e. 3 largest integer that divides all the numbers equally.

GCD of 51, 837, 621, 390 is 3

GCD(51, 837, 621, 390) = 3

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

GCD of

GCD of numbers 51, 837, 621, 390 is 3

GCD(51, 837, 621, 390) = 3

GCD of 51,837,621,390 Calculator

GCDof 51,837,621,390 is 3

Given Input numbers are 51, 837, 621, 390

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

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 837

List of positive integer divisors of 837 that divides 837 without a remainder.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 621

List of positive integer divisors of 621 that divides 621 without a remainder.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Greatest Common Divisior

We found the divisors of 51, 837, 621, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 837, 621, 390 is 3.

Therefore, GCD of numbers 51, 837, 621, 390 is 3

Finding GCD of 51, 837, 621, 390 using Prime Factorization

Given Input Data is 51, 837, 621, 390

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 837 is 3 x 3 x 3 x 31

Prime Factorization of 621 is 3 x 3 x 3 x 23

Prime Factorization of 390 is 2 x 3 x 5 x 13

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 51, 837, 621, 390 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(51, 837) = 14229

GCD(51, 837) = ( 51 x 837 ) / 14229

GCD(51, 837) = 42687 / 14229

GCD(51, 837) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 621

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

LCM(3, 621) = 621

GCD(3, 621) = ( 3 x 621 ) / 621

GCD(3, 621) = 1863 / 621

GCD(3, 621) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 390

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

LCM(3, 390) = 390

GCD(3, 390) = ( 3 x 390 ) / 390

GCD(3, 390) = 1170 / 390

GCD(3, 390) = 3

GCD of 51, 837, 621, 390 is 3

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 51, 837, 621, 390

1. What is the GCD of 51, 837, 621, 390?

GCD of 51, 837, 621, 390 is 3


2. Where do I get the detailed procedure to find GCD of 51, 837, 621, 390?

You can find a detailed procedure to find GCD of 51, 837, 621, 390 on our page.


3. How to find GCD of 51, 837, 621, 390 on a calculator?

You can find the GCD of 51, 837, 621, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.