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 228, 963, 41, 125 i.e. 1 largest integer that divides all the numbers equally.
GCD of 228, 963, 41, 125 is 1
GCD(228, 963, 41, 125) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 228, 963, 41, 125 is 1
GCD(228, 963, 41, 125) = 1
Given Input numbers are 228, 963, 41, 125
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 228
List of positive integer divisors of 228 that divides 228 without a remainder.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Greatest Common Divisior
We found the divisors of 228, 963, 41, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 963, 41, 125 is 1.
Therefore, GCD of numbers 228, 963, 41, 125 is 1
Given Input Data is 228, 963, 41, 125
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 228 is 2 x 2 x 3 x 19
Prime Factorization of 963 is 3 x 3 x 107
Prime Factorization of 41 is 41
Prime Factorization of 125 is 5 x 5 x 5
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(228, 963) = 73188
GCD(228, 963) = ( 228 x 963 ) / 73188
GCD(228, 963) = 219564 / 73188
GCD(228, 963) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 41) = 123
GCD(3, 41) = ( 3 x 41 ) / 123
GCD(3, 41) = 123 / 123
GCD(3, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 125
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 125) = 125
GCD(1, 125) = ( 1 x 125 ) / 125
GCD(1, 125) = 125 / 125
GCD(1, 125) = 1
GCD of 228, 963, 41, 125 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 228, 963, 41, 125?
GCD of 228, 963, 41, 125 is 1
2. Where do I get the detailed procedure to find GCD of 228, 963, 41, 125?
You can find a detailed procedure to find GCD of 228, 963, 41, 125 on our page.
3. How to find GCD of 228, 963, 41, 125 on a calculator?
You can find the GCD of 228, 963, 41, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.