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 961, 227, 44, 284 i.e. 1 largest integer that divides all the numbers equally.
GCD of 961, 227, 44, 284 is 1
GCD(961, 227, 44, 284) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 961, 227, 44, 284 is 1
GCD(961, 227, 44, 284) = 1
Given Input numbers are 961, 227, 44, 284
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
Divisors of 227
List of positive integer divisors of 227 that divides 227 without a remainder.
1, 227
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Greatest Common Divisior
We found the divisors of 961, 227, 44, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 227, 44, 284 is 1.
Therefore, GCD of numbers 961, 227, 44, 284 is 1
Given Input Data is 961, 227, 44, 284
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 961 is 31 x 31
Prime Factorization of 227 is 227
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 284 is 2 x 2 x 71
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(961, 227) = 218147
GCD(961, 227) = ( 961 x 227 ) / 218147
GCD(961, 227) = 218147 / 218147
GCD(961, 227) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 44
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 44) = 44
GCD(1, 44) = ( 1 x 44 ) / 44
GCD(1, 44) = 44 / 44
GCD(1, 44) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 284
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 284) = 284
GCD(1, 284) = ( 1 x 284 ) / 284
GCD(1, 284) = 284 / 284
GCD(1, 284) = 1
GCD of 961, 227, 44, 284 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 961, 227, 44, 284?
GCD of 961, 227, 44, 284 is 1
2. Where do I get the detailed procedure to find GCD of 961, 227, 44, 284?
You can find a detailed procedure to find GCD of 961, 227, 44, 284 on our page.
3. How to find GCD of 961, 227, 44, 284 on a calculator?
You can find the GCD of 961, 227, 44, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.