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, 196, 245, 104 i.e. 1 largest integer that divides all the numbers equally.
GCD of 226, 196, 245, 104 is 1
GCD(226, 196, 245, 104) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 226, 196, 245, 104 is 1
GCD(226, 196, 245, 104) = 1
Given Input numbers are 226, 196, 245, 104
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 196
List of positive integer divisors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Greatest Common Divisior
We found the divisors of 226, 196, 245, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 196, 245, 104 is 1.
Therefore, GCD of numbers 226, 196, 245, 104 is 1
Given Input Data is 226, 196, 245, 104
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 226 is 2 x 113
Prime Factorization of 196 is 2 x 2 x 7 x 7
Prime Factorization of 245 is 5 x 7 x 7
Prime Factorization of 104 is 2 x 2 x 2 x 13
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, 196) = 22148
GCD(226, 196) = ( 226 x 196 ) / 22148
GCD(226, 196) = 44296 / 22148
GCD(226, 196) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 245
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 245) = 490
GCD(2, 245) = ( 2 x 245 ) / 490
GCD(2, 245) = 490 / 490
GCD(2, 245) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 104
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 104) = 104
GCD(1, 104) = ( 1 x 104 ) / 104
GCD(1, 104) = 104 / 104
GCD(1, 104) = 1
GCD of 226, 196, 245, 104 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 226, 196, 245, 104?
GCD of 226, 196, 245, 104 is 1
2. Where do I get the detailed procedure to find GCD of 226, 196, 245, 104?
You can find a detailed procedure to find GCD of 226, 196, 245, 104 on our page.
3. How to find GCD of 226, 196, 245, 104 on a calculator?
You can find the GCD of 226, 196, 245, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.