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 361, 249, 82, 226 i.e. 1 largest integer that divides all the numbers equally.
GCD of 361, 249, 82, 226 is 1
GCD(361, 249, 82, 226) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 361, 249, 82, 226 is 1
GCD(361, 249, 82, 226) = 1
Given Input numbers are 361, 249, 82, 226
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Divisors of 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 226
List of positive integer divisors of 226 that divides 226 without a remainder.
1, 2, 113, 226
Greatest Common Divisior
We found the divisors of 361, 249, 82, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 249, 82, 226 is 1.
Therefore, GCD of numbers 361, 249, 82, 226 is 1
Given Input Data is 361, 249, 82, 226
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 361 is 19 x 19
Prime Factorization of 249 is 3 x 83
Prime Factorization of 82 is 2 x 41
Prime Factorization of 226 is 2 x 113
The above numbers do not have any common prime factor. So GCD is 1
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(361, 249) = 89889
GCD(361, 249) = ( 361 x 249 ) / 89889
GCD(361, 249) = 89889 / 89889
GCD(361, 249) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 82) = 82
GCD(1, 82) = ( 1 x 82 ) / 82
GCD(1, 82) = 82 / 82
GCD(1, 82) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 226
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 226) = 226
GCD(1, 226) = ( 1 x 226 ) / 226
GCD(1, 226) = 226 / 226
GCD(1, 226) = 1
GCD of 361, 249, 82, 226 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 361, 249, 82, 226?
GCD of 361, 249, 82, 226 is 1
2. Where do I get the detailed procedure to find GCD of 361, 249, 82, 226?
You can find a detailed procedure to find GCD of 361, 249, 82, 226 on our page.
3. How to find GCD of 361, 249, 82, 226 on a calculator?
You can find the GCD of 361, 249, 82, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.