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 189, 752, 446, 241 i.e. 1 largest integer that divides all the numbers equally.
GCD of 189, 752, 446, 241 is 1
GCD(189, 752, 446, 241) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 189, 752, 446, 241 is 1
GCD(189, 752, 446, 241) = 1
Given Input numbers are 189, 752, 446, 241
To find the GCD of numbers using factoring list out all the divisors of each number
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 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 446
List of positive integer divisors of 446 that divides 446 without a remainder.
1, 2, 223, 446
Divisors of 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
Greatest Common Divisior
We found the divisors of 189, 752, 446, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 752, 446, 241 is 1.
Therefore, GCD of numbers 189, 752, 446, 241 is 1
Given Input Data is 189, 752, 446, 241
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 189 is 3 x 3 x 3 x 7
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 446 is 2 x 223
Prime Factorization of 241 is 241
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(189, 752) = 142128
GCD(189, 752) = ( 189 x 752 ) / 142128
GCD(189, 752) = 142128 / 142128
GCD(189, 752) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 446
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 446) = 446
GCD(1, 446) = ( 1 x 446 ) / 446
GCD(1, 446) = 446 / 446
GCD(1, 446) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 241
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 241) = 241
GCD(1, 241) = ( 1 x 241 ) / 241
GCD(1, 241) = 241 / 241
GCD(1, 241) = 1
GCD of 189, 752, 446, 241 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 189, 752, 446, 241?
GCD of 189, 752, 446, 241 is 1
2. Where do I get the detailed procedure to find GCD of 189, 752, 446, 241?
You can find a detailed procedure to find GCD of 189, 752, 446, 241 on our page.
3. How to find GCD of 189, 752, 446, 241 on a calculator?
You can find the GCD of 189, 752, 446, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.