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 196, 559, 18, 223 i.e. 1 largest integer that divides all the numbers equally.
GCD of 196, 559, 18, 223 is 1
GCD(196, 559, 18, 223) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 196, 559, 18, 223 is 1
GCD(196, 559, 18, 223) = 1
Given Input numbers are 196, 559, 18, 223
To find the GCD of numbers using factoring list out all the divisors of each number
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 559
List of positive integer divisors of 559 that divides 559 without a remainder.
1, 13, 43, 559
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 223
List of positive integer divisors of 223 that divides 223 without a remainder.
1, 223
Greatest Common Divisior
We found the divisors of 196, 559, 18, 223 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 559, 18, 223 is 1.
Therefore, GCD of numbers 196, 559, 18, 223 is 1
Given Input Data is 196, 559, 18, 223
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 196 is 2 x 2 x 7 x 7
Prime Factorization of 559 is 13 x 43
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 223 is 223
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(196, 559) = 109564
GCD(196, 559) = ( 196 x 559 ) / 109564
GCD(196, 559) = 109564 / 109564
GCD(196, 559) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 18) = 18
GCD(1, 18) = ( 1 x 18 ) / 18
GCD(1, 18) = 18 / 18
GCD(1, 18) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 223
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 223) = 223
GCD(1, 223) = ( 1 x 223 ) / 223
GCD(1, 223) = 223 / 223
GCD(1, 223) = 1
GCD of 196, 559, 18, 223 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 196, 559, 18, 223?
GCD of 196, 559, 18, 223 is 1
2. Where do I get the detailed procedure to find GCD of 196, 559, 18, 223?
You can find a detailed procedure to find GCD of 196, 559, 18, 223 on our page.
3. How to find GCD of 196, 559, 18, 223 on a calculator?
You can find the GCD of 196, 559, 18, 223 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.