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 441, 407, 443, 226 i.e. 1 largest integer that divides all the numbers equally.
GCD of 441, 407, 443, 226 is 1
GCD(441, 407, 443, 226) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 441, 407, 443, 226 is 1
GCD(441, 407, 443, 226) = 1
Given Input numbers are 441, 407, 443, 226
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 407
List of positive integer divisors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Divisors of 443
List of positive integer divisors of 443 that divides 443 without a remainder.
1, 443
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 441, 407, 443, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 441, 407, 443, 226 is 1.
Therefore, GCD of numbers 441, 407, 443, 226 is 1
Given Input Data is 441, 407, 443, 226
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 441 is 3 x 3 x 7 x 7
Prime Factorization of 407 is 11 x 37
Prime Factorization of 443 is 443
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(441, 407) = 179487
GCD(441, 407) = ( 441 x 407 ) / 179487
GCD(441, 407) = 179487 / 179487
GCD(441, 407) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 443
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 443) = 443
GCD(1, 443) = ( 1 x 443 ) / 443
GCD(1, 443) = 443 / 443
GCD(1, 443) = 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 441, 407, 443, 226 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 441, 407, 443, 226?
GCD of 441, 407, 443, 226 is 1
2. Where do I get the detailed procedure to find GCD of 441, 407, 443, 226?
You can find a detailed procedure to find GCD of 441, 407, 443, 226 on our page.
3. How to find GCD of 441, 407, 443, 226 on a calculator?
You can find the GCD of 441, 407, 443, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.