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 104, 239, 496, 196 i.e. 1 largest integer that divides all the numbers equally.
GCD of 104, 239, 496, 196 is 1
GCD(104, 239, 496, 196) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 104, 239, 496, 196 is 1
GCD(104, 239, 496, 196) = 1
Given Input numbers are 104, 239, 496, 196
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 239
List of positive integer divisors of 239 that divides 239 without a remainder.
1, 239
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
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
Greatest Common Divisior
We found the divisors of 104, 239, 496, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 239, 496, 196 is 1.
Therefore, GCD of numbers 104, 239, 496, 196 is 1
Given Input Data is 104, 239, 496, 196
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 239 is 239
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 196 is 2 x 2 x 7 x 7
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(104, 239) = 24856
GCD(104, 239) = ( 104 x 239 ) / 24856
GCD(104, 239) = 24856 / 24856
GCD(104, 239) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 496
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 496) = 496
GCD(1, 496) = ( 1 x 496 ) / 496
GCD(1, 496) = 496 / 496
GCD(1, 496) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 196
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 196) = 196
GCD(1, 196) = ( 1 x 196 ) / 196
GCD(1, 196) = 196 / 196
GCD(1, 196) = 1
GCD of 104, 239, 496, 196 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 104, 239, 496, 196?
GCD of 104, 239, 496, 196 is 1
2. Where do I get the detailed procedure to find GCD of 104, 239, 496, 196?
You can find a detailed procedure to find GCD of 104, 239, 496, 196 on our page.
3. How to find GCD of 104, 239, 496, 196 on a calculator?
You can find the GCD of 104, 239, 496, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.