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 82, 228, 941, 950 i.e. 1 largest integer that divides all the numbers equally.
GCD of 82, 228, 941, 950 is 1
GCD(82, 228, 941, 950) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 82, 228, 941, 950 is 1
GCD(82, 228, 941, 950) = 1
Given Input numbers are 82, 228, 941, 950
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
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 941
List of positive integer divisors of 941 that divides 941 without a remainder.
1, 941
Divisors of 950
List of positive integer divisors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Greatest Common Divisior
We found the divisors of 82, 228, 941, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 228, 941, 950 is 1.
Therefore, GCD of numbers 82, 228, 941, 950 is 1
Given Input Data is 82, 228, 941, 950
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 82 is 2 x 41
Prime Factorization of 228 is 2 x 2 x 3 x 19
Prime Factorization of 941 is 941
Prime Factorization of 950 is 2 x 5 x 5 x 19
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(82, 228) = 9348
GCD(82, 228) = ( 82 x 228 ) / 9348
GCD(82, 228) = 18696 / 9348
GCD(82, 228) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 941
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 941) = 1882
GCD(2, 941) = ( 2 x 941 ) / 1882
GCD(2, 941) = 1882 / 1882
GCD(2, 941) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 950
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 950) = 950
GCD(1, 950) = ( 1 x 950 ) / 950
GCD(1, 950) = 950 / 950
GCD(1, 950) = 1
GCD of 82, 228, 941, 950 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 82, 228, 941, 950?
GCD of 82, 228, 941, 950 is 1
2. Where do I get the detailed procedure to find GCD of 82, 228, 941, 950?
You can find a detailed procedure to find GCD of 82, 228, 941, 950 on our page.
3. How to find GCD of 82, 228, 941, 950 on a calculator?
You can find the GCD of 82, 228, 941, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.