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, 966, 98, 389 i.e. 1 largest integer that divides all the numbers equally.
GCD of 228, 966, 98, 389 is 1
GCD(228, 966, 98, 389) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 228, 966, 98, 389 is 1
GCD(228, 966, 98, 389) = 1
Given Input numbers are 228, 966, 98, 389
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 966
List of positive integer divisors of 966 that divides 966 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 389
List of positive integer divisors of 389 that divides 389 without a remainder.
1, 389
Greatest Common Divisior
We found the divisors of 228, 966, 98, 389 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 966, 98, 389 is 1.
Therefore, GCD of numbers 228, 966, 98, 389 is 1
Given Input Data is 228, 966, 98, 389
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 966 is 2 x 3 x 7 x 23
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 389 is 389
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, 966) = 36708
GCD(228, 966) = ( 228 x 966 ) / 36708
GCD(228, 966) = 220248 / 36708
GCD(228, 966) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 98
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 98) = 294
GCD(6, 98) = ( 6 x 98 ) / 294
GCD(6, 98) = 588 / 294
GCD(6, 98) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 389
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 389) = 778
GCD(2, 389) = ( 2 x 389 ) / 778
GCD(2, 389) = 778 / 778
GCD(2, 389) = 1
GCD of 228, 966, 98, 389 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 228, 966, 98, 389?
GCD of 228, 966, 98, 389 is 1
2. Where do I get the detailed procedure to find GCD of 228, 966, 98, 389?
You can find a detailed procedure to find GCD of 228, 966, 98, 389 on our page.
3. How to find GCD of 228, 966, 98, 389 on a calculator?
You can find the GCD of 228, 966, 98, 389 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.