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 452, 180, 41, 211 i.e. 1 largest integer that divides all the numbers equally.
GCD of 452, 180, 41, 211 is 1
GCD(452, 180, 41, 211) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 452, 180, 41, 211 is 1
GCD(452, 180, 41, 211) = 1
Given Input numbers are 452, 180, 41, 211
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 211
List of positive integer divisors of 211 that divides 211 without a remainder.
1, 211
Greatest Common Divisior
We found the divisors of 452, 180, 41, 211 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 452, 180, 41, 211 is 1.
Therefore, GCD of numbers 452, 180, 41, 211 is 1
Given Input Data is 452, 180, 41, 211
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 452 is 2 x 2 x 113
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 41 is 41
Prime Factorization of 211 is 211
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(452, 180) = 20340
GCD(452, 180) = ( 452 x 180 ) / 20340
GCD(452, 180) = 81360 / 20340
GCD(452, 180) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 41) = 164
GCD(4, 41) = ( 4 x 41 ) / 164
GCD(4, 41) = 164 / 164
GCD(4, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 211
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 211) = 211
GCD(1, 211) = ( 1 x 211 ) / 211
GCD(1, 211) = 211 / 211
GCD(1, 211) = 1
GCD of 452, 180, 41, 211 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 452, 180, 41, 211?
GCD of 452, 180, 41, 211 is 1
2. Where do I get the detailed procedure to find GCD of 452, 180, 41, 211?
You can find a detailed procedure to find GCD of 452, 180, 41, 211 on our page.
3. How to find GCD of 452, 180, 41, 211 on a calculator?
You can find the GCD of 452, 180, 41, 211 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.