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 822, 782, 930 i.e. 2 largest integer that divides all the numbers equally.
GCD of 822, 782, 930 is 2
GCD(822, 782, 930) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 822, 782, 930 is 2
GCD(822, 782, 930) = 2
Given Input numbers are 822, 782, 930
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 822
List of positive integer divisors of 822 that divides 822 without a remainder.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 782
List of positive integer divisors of 782 that divides 782 without a remainder.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 930
List of positive integer divisors of 930 that divides 930 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
Greatest Common Divisior
We found the divisors of 822, 782, 930 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 782, 930 is 2.
Therefore, GCD of numbers 822, 782, 930 is 2
Given Input Data is 822, 782, 930
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 822 is 2 x 3 x 137
Prime Factorization of 782 is 2 x 17 x 23
Prime Factorization of 930 is 2 x 3 x 5 x 31
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(822, 782) = 321402
GCD(822, 782) = ( 822 x 782 ) / 321402
GCD(822, 782) = 642804 / 321402
GCD(822, 782) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 930
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 930) = 930
GCD(2, 930) = ( 2 x 930 ) / 930
GCD(2, 930) = 1860 / 930
GCD(2, 930) = 2
GCD of 822, 782, 930 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 822, 782, 930?
GCD of 822, 782, 930 is 2
2. Where do I get the detailed procedure to find GCD of 822, 782, 930?
You can find a detailed procedure to find GCD of 822, 782, 930 on our page.
3. How to find GCD of 822, 782, 930 on a calculator?
You can find the GCD of 822, 782, 930 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.