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 115, 159, 104, 426 i.e. 1 largest integer that divides all the numbers equally.
GCD of 115, 159, 104, 426 is 1
GCD(115, 159, 104, 426) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 115, 159, 104, 426 is 1
GCD(115, 159, 104, 426) = 1
Given Input numbers are 115, 159, 104, 426
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
Divisors of 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
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 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Greatest Common Divisior
We found the divisors of 115, 159, 104, 426 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 159, 104, 426 is 1.
Therefore, GCD of numbers 115, 159, 104, 426 is 1
Given Input Data is 115, 159, 104, 426
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 115 is 5 x 23
Prime Factorization of 159 is 3 x 53
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 426 is 2 x 3 x 71
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(115, 159) = 18285
GCD(115, 159) = ( 115 x 159 ) / 18285
GCD(115, 159) = 18285 / 18285
GCD(115, 159) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 426
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 426) = 426
GCD(1, 426) = ( 1 x 426 ) / 426
GCD(1, 426) = 426 / 426
GCD(1, 426) = 1
GCD of 115, 159, 104, 426 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 115, 159, 104, 426?
GCD of 115, 159, 104, 426 is 1
2. Where do I get the detailed procedure to find GCD of 115, 159, 104, 426?
You can find a detailed procedure to find GCD of 115, 159, 104, 426 on our page.
3. How to find GCD of 115, 159, 104, 426 on a calculator?
You can find the GCD of 115, 159, 104, 426 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.