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, 100, 236 i.e. 2 largest integer that divides all the numbers equally.
GCD of 366, 100, 236 is 2
GCD(366, 100, 236) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 366, 100, 236 is 2
GCD(366, 100, 236) = 2
Given Input numbers are 366, 100, 236
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 100
List of positive integer divisors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Greatest Common Divisior
We found the divisors of 366, 100, 236 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 100, 236 is 2.
Therefore, GCD of numbers 366, 100, 236 is 2
Given Input Data is 366, 100, 236
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 100 is 2 x 2 x 5 x 5
Prime Factorization of 236 is 2 x 2 x 59
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, 100) = 18300
GCD(366, 100) = ( 366 x 100 ) / 18300
GCD(366, 100) = 36600 / 18300
GCD(366, 100) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 236
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 236) = 236
GCD(2, 236) = ( 2 x 236 ) / 236
GCD(2, 236) = 472 / 236
GCD(2, 236) = 2
GCD of 366, 100, 236 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 366, 100, 236?
GCD of 366, 100, 236 is 2
2. Where do I get the detailed procedure to find GCD of 366, 100, 236?
You can find a detailed procedure to find GCD of 366, 100, 236 on our page.
3. How to find GCD of 366, 100, 236 on a calculator?
You can find the GCD of 366, 100, 236 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.