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 226, 680, 28, 993 i.e. 1 largest integer that divides all the numbers equally.
GCD of 226, 680, 28, 993 is 1
GCD(226, 680, 28, 993) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 226, 680, 28, 993 is 1
GCD(226, 680, 28, 993) = 1
Given Input numbers are 226, 680, 28, 993
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 226
List of positive integer divisors of 226 that divides 226 without a remainder.
1, 2, 113, 226
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Greatest Common Divisior
We found the divisors of 226, 680, 28, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 680, 28, 993 is 1.
Therefore, GCD of numbers 226, 680, 28, 993 is 1
Given Input Data is 226, 680, 28, 993
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 226 is 2 x 113
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 993 is 3 x 331
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(226, 680) = 76840
GCD(226, 680) = ( 226 x 680 ) / 76840
GCD(226, 680) = 153680 / 76840
GCD(226, 680) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 28) = 28
GCD(2, 28) = ( 2 x 28 ) / 28
GCD(2, 28) = 56 / 28
GCD(2, 28) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 993
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 993) = 1986
GCD(2, 993) = ( 2 x 993 ) / 1986
GCD(2, 993) = 1986 / 1986
GCD(2, 993) = 1
GCD of 226, 680, 28, 993 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 226, 680, 28, 993?
GCD of 226, 680, 28, 993 is 1
2. Where do I get the detailed procedure to find GCD of 226, 680, 28, 993?
You can find a detailed procedure to find GCD of 226, 680, 28, 993 on our page.
3. How to find GCD of 226, 680, 28, 993 on a calculator?
You can find the GCD of 226, 680, 28, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.