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, 202, 82, 959 i.e. 1 largest integer that divides all the numbers equally.
GCD of 228, 202, 82, 959 is 1
GCD(228, 202, 82, 959) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 228, 202, 82, 959 is 1
GCD(228, 202, 82, 959) = 1
Given Input numbers are 228, 202, 82, 959
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 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Greatest Common Divisior
We found the divisors of 228, 202, 82, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 202, 82, 959 is 1.
Therefore, GCD of numbers 228, 202, 82, 959 is 1
Given Input Data is 228, 202, 82, 959
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 202 is 2 x 101
Prime Factorization of 82 is 2 x 41
Prime Factorization of 959 is 7 x 137
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, 202) = 23028
GCD(228, 202) = ( 228 x 202 ) / 23028
GCD(228, 202) = 46056 / 23028
GCD(228, 202) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 82) = 82
GCD(2, 82) = ( 2 x 82 ) / 82
GCD(2, 82) = 164 / 82
GCD(2, 82) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 959
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 959) = 1918
GCD(2, 959) = ( 2 x 959 ) / 1918
GCD(2, 959) = 1918 / 1918
GCD(2, 959) = 1
GCD of 228, 202, 82, 959 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 228, 202, 82, 959?
GCD of 228, 202, 82, 959 is 1
2. Where do I get the detailed procedure to find GCD of 228, 202, 82, 959?
You can find a detailed procedure to find GCD of 228, 202, 82, 959 on our page.
3. How to find GCD of 228, 202, 82, 959 on a calculator?
You can find the GCD of 228, 202, 82, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.