GCD of 819, 910, 962 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 819, 910, 962 i.e. 13 largest integer that divides all the numbers equally.

GCD of 819, 910, 962 is 13

GCD(819, 910, 962) = 13

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

GCD of

GCD of numbers 819, 910, 962 is 13

GCD(819, 910, 962) = 13

GCD of 819,910,962 Calculator

GCDof 819,910,962 is 13

Given Input numbers are 819, 910, 962

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

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Greatest Common Divisior

We found the divisors of 819, 910, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 910, 962 is 13.

Therefore, GCD of numbers 819, 910, 962 is 13

Finding GCD of 819, 910, 962 using Prime Factorization

Given Input Data is 819, 910, 962

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

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 962 is 2 x 13 x 37

Highest common occurrences in the given inputs are 131

Multiplying them we get the GCD as 13

Finding GCD of 819, 910, 962 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(819, 910) = 8190

GCD(819, 910) = ( 819 x 910 ) / 8190

GCD(819, 910) = 745290 / 8190

GCD(819, 910) = 91


Step2:

Here we consider the GCD from the above i.e. 91 as first number and the next as 962

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

LCM(91, 962) = 6734

GCD(91, 962) = ( 91 x 962 ) / 6734

GCD(91, 962) = 87542 / 6734

GCD(91, 962) = 13

GCD of 819, 910, 962 is 13

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 819, 910, 962

1. What is the GCD of 819, 910, 962?

GCD of 819, 910, 962 is 13


2. Where do I get the detailed procedure to find GCD of 819, 910, 962?

You can find a detailed procedure to find GCD of 819, 910, 962 on our page.


3. How to find GCD of 819, 910, 962 on a calculator?

You can find the GCD of 819, 910, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.