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, 992, 279, 103 i.e. 1 largest integer that divides all the numbers equally.
GCD of 228, 992, 279, 103 is 1
GCD(228, 992, 279, 103) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 228, 992, 279, 103 is 1
GCD(228, 992, 279, 103) = 1
Given Input numbers are 228, 992, 279, 103
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 992
List of positive integer divisors of 992 that divides 992 without a remainder.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Greatest Common Divisior
We found the divisors of 228, 992, 279, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 992, 279, 103 is 1.
Therefore, GCD of numbers 228, 992, 279, 103 is 1
Given Input Data is 228, 992, 279, 103
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 992 is 2 x 2 x 2 x 2 x 2 x 31
Prime Factorization of 279 is 3 x 3 x 31
Prime Factorization of 103 is 103
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, 992) = 56544
GCD(228, 992) = ( 228 x 992 ) / 56544
GCD(228, 992) = 226176 / 56544
GCD(228, 992) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 279
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 279) = 1116
GCD(4, 279) = ( 4 x 279 ) / 1116
GCD(4, 279) = 1116 / 1116
GCD(4, 279) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 103
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 103) = 103
GCD(1, 103) = ( 1 x 103 ) / 103
GCD(1, 103) = 103 / 103
GCD(1, 103) = 1
GCD of 228, 992, 279, 103 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 228, 992, 279, 103?
GCD of 228, 992, 279, 103 is 1
2. Where do I get the detailed procedure to find GCD of 228, 992, 279, 103?
You can find a detailed procedure to find GCD of 228, 992, 279, 103 on our page.
3. How to find GCD of 228, 992, 279, 103 on a calculator?
You can find the GCD of 228, 992, 279, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.