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, 189, 275, 447 i.e. 1 largest integer that divides all the numbers equally.
GCD of 441, 189, 275, 447 is 1
GCD(441, 189, 275, 447) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 441, 189, 275, 447 is 1
GCD(441, 189, 275, 447) = 1
Given Input numbers are 441, 189, 275, 447
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 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Divisors of 447
List of positive integer divisors of 447 that divides 447 without a remainder.
1, 3, 149, 447
Greatest Common Divisior
We found the divisors of 441, 189, 275, 447 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 441, 189, 275, 447 is 1.
Therefore, GCD of numbers 441, 189, 275, 447 is 1
Given Input Data is 441, 189, 275, 447
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 189 is 3 x 3 x 3 x 7
Prime Factorization of 275 is 5 x 5 x 11
Prime Factorization of 447 is 3 x 149
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, 189) = 1323
GCD(441, 189) = ( 441 x 189 ) / 1323
GCD(441, 189) = 83349 / 1323
GCD(441, 189) = 63
Step2:
Here we consider the GCD from the above i.e. 63 as first number and the next as 275
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(63, 275) = 17325
GCD(63, 275) = ( 63 x 275 ) / 17325
GCD(63, 275) = 17325 / 17325
GCD(63, 275) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 447
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 447) = 447
GCD(1, 447) = ( 1 x 447 ) / 447
GCD(1, 447) = 447 / 447
GCD(1, 447) = 1
GCD of 441, 189, 275, 447 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 441, 189, 275, 447?
GCD of 441, 189, 275, 447 is 1
2. Where do I get the detailed procedure to find GCD of 441, 189, 275, 447?
You can find a detailed procedure to find GCD of 441, 189, 275, 447 on our page.
3. How to find GCD of 441, 189, 275, 447 on a calculator?
You can find the GCD of 441, 189, 275, 447 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.