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, 889, 12, 757 i.e. 1 largest integer that divides all the numbers equally.
GCD of 228, 889, 12, 757 is 1
GCD(228, 889, 12, 757) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 228, 889, 12, 757 is 1
GCD(228, 889, 12, 757) = 1
Given Input numbers are 228, 889, 12, 757
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 889
List of positive integer divisors of 889 that divides 889 without a remainder.
1, 7, 127, 889
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Greatest Common Divisior
We found the divisors of 228, 889, 12, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 889, 12, 757 is 1.
Therefore, GCD of numbers 228, 889, 12, 757 is 1
Given Input Data is 228, 889, 12, 757
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 889 is 7 x 127
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 757 is 757
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, 889) = 202692
GCD(228, 889) = ( 228 x 889 ) / 202692
GCD(228, 889) = 202692 / 202692
GCD(228, 889) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 757
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 757) = 757
GCD(1, 757) = ( 1 x 757 ) / 757
GCD(1, 757) = 757 / 757
GCD(1, 757) = 1
GCD of 228, 889, 12, 757 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 228, 889, 12, 757?
GCD of 228, 889, 12, 757 is 1
2. Where do I get the detailed procedure to find GCD of 228, 889, 12, 757?
You can find a detailed procedure to find GCD of 228, 889, 12, 757 on our page.
3. How to find GCD of 228, 889, 12, 757 on a calculator?
You can find the GCD of 228, 889, 12, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.