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 230, 316, 882 i.e. 2 largest integer that divides all the numbers equally.
GCD of 230, 316, 882 is 2
GCD(230, 316, 882) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 230, 316, 882 is 2
GCD(230, 316, 882) = 2
Given Input numbers are 230, 316, 882
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 230
List of positive integer divisors of 230 that divides 230 without a remainder.
1, 2, 5, 10, 23, 46, 115, 230
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Divisors of 882
List of positive integer divisors of 882 that divides 882 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Greatest Common Divisior
We found the divisors of 230, 316, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 316, 882 is 2.
Therefore, GCD of numbers 230, 316, 882 is 2
Given Input Data is 230, 316, 882
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 230 is 2 x 5 x 23
Prime Factorization of 316 is 2 x 2 x 79
Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7
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(230, 316) = 36340
GCD(230, 316) = ( 230 x 316 ) / 36340
GCD(230, 316) = 72680 / 36340
GCD(230, 316) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 882
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 882) = 882
GCD(2, 882) = ( 2 x 882 ) / 882
GCD(2, 882) = 1764 / 882
GCD(2, 882) = 2
GCD of 230, 316, 882 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 230, 316, 882?
GCD of 230, 316, 882 is 2
2. Where do I get the detailed procedure to find GCD of 230, 316, 882?
You can find a detailed procedure to find GCD of 230, 316, 882 on our page.
3. How to find GCD of 230, 316, 882 on a calculator?
You can find the GCD of 230, 316, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.