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 366, 890, 234 i.e. 2 largest integer that divides all the numbers equally.
GCD of 366, 890, 234 is 2
GCD(366, 890, 234) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 366, 890, 234 is 2
GCD(366, 890, 234) = 2
Given Input numbers are 366, 890, 234
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 890
List of positive integer divisors of 890 that divides 890 without a remainder.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Greatest Common Divisior
We found the divisors of 366, 890, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 890, 234 is 2.
Therefore, GCD of numbers 366, 890, 234 is 2
Given Input Data is 366, 890, 234
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 366 is 2 x 3 x 61
Prime Factorization of 890 is 2 x 5 x 89
Prime Factorization of 234 is 2 x 3 x 3 x 13
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(366, 890) = 162870
GCD(366, 890) = ( 366 x 890 ) / 162870
GCD(366, 890) = 325740 / 162870
GCD(366, 890) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 234
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 234) = 234
GCD(2, 234) = ( 2 x 234 ) / 234
GCD(2, 234) = 468 / 234
GCD(2, 234) = 2
GCD of 366, 890, 234 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 366, 890, 234?
GCD of 366, 890, 234 is 2
2. Where do I get the detailed procedure to find GCD of 366, 890, 234?
You can find a detailed procedure to find GCD of 366, 890, 234 on our page.
3. How to find GCD of 366, 890, 234 on a calculator?
You can find the GCD of 366, 890, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.