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 208, 218, 79, 226 i.e. 1 largest integer that divides all the numbers equally.
GCD of 208, 218, 79, 226 is 1
GCD(208, 218, 79, 226) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 208, 218, 79, 226 is 1
GCD(208, 218, 79, 226) = 1
Given Input numbers are 208, 218, 79, 226
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 208
List of positive integer divisors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
Divisors of 79
List of positive integer divisors of 79 that divides 79 without a remainder.
1, 79
Divisors of 226
List of positive integer divisors of 226 that divides 226 without a remainder.
1, 2, 113, 226
Greatest Common Divisior
We found the divisors of 208, 218, 79, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 218, 79, 226 is 1.
Therefore, GCD of numbers 208, 218, 79, 226 is 1
Given Input Data is 208, 218, 79, 226
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13
Prime Factorization of 218 is 2 x 109
Prime Factorization of 79 is 79
Prime Factorization of 226 is 2 x 113
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(208, 218) = 22672
GCD(208, 218) = ( 208 x 218 ) / 22672
GCD(208, 218) = 45344 / 22672
GCD(208, 218) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 79
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 79) = 158
GCD(2, 79) = ( 2 x 79 ) / 158
GCD(2, 79) = 158 / 158
GCD(2, 79) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 226
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 226) = 226
GCD(1, 226) = ( 1 x 226 ) / 226
GCD(1, 226) = 226 / 226
GCD(1, 226) = 1
GCD of 208, 218, 79, 226 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 208, 218, 79, 226?
GCD of 208, 218, 79, 226 is 1
2. Where do I get the detailed procedure to find GCD of 208, 218, 79, 226?
You can find a detailed procedure to find GCD of 208, 218, 79, 226 on our page.
3. How to find GCD of 208, 218, 79, 226 on a calculator?
You can find the GCD of 208, 218, 79, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.