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, 275, 825, 102 i.e. 1 largest integer that divides all the numbers equally.
GCD of 226, 275, 825, 102 is 1
GCD(226, 275, 825, 102) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 226, 275, 825, 102 is 1
GCD(226, 275, 825, 102) = 1
Given Input numbers are 226, 275, 825, 102
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 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Divisors of 825
List of positive integer divisors of 825 that divides 825 without a remainder.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Greatest Common Divisior
We found the divisors of 226, 275, 825, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 275, 825, 102 is 1.
Therefore, GCD of numbers 226, 275, 825, 102 is 1
Given Input Data is 226, 275, 825, 102
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 226 is 2 x 113
Prime Factorization of 275 is 5 x 5 x 11
Prime Factorization of 825 is 3 x 5 x 5 x 11
Prime Factorization of 102 is 2 x 3 x 17
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, 275) = 62150
GCD(226, 275) = ( 226 x 275 ) / 62150
GCD(226, 275) = 62150 / 62150
GCD(226, 275) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 825
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
GCD(1, 825) = 825 / 825
GCD(1, 825) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 102
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 102) = 102
GCD(1, 102) = ( 1 x 102 ) / 102
GCD(1, 102) = 102 / 102
GCD(1, 102) = 1
GCD of 226, 275, 825, 102 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 226, 275, 825, 102?
GCD of 226, 275, 825, 102 is 1
2. Where do I get the detailed procedure to find GCD of 226, 275, 825, 102?
You can find a detailed procedure to find GCD of 226, 275, 825, 102 on our page.
3. How to find GCD of 226, 275, 825, 102 on a calculator?
You can find the GCD of 226, 275, 825, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.