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 394, 118, 91, 113 i.e. 1 largest integer that divides all the numbers equally.
GCD of 394, 118, 91, 113 is 1
GCD(394, 118, 91, 113) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 394, 118, 91, 113 is 1
GCD(394, 118, 91, 113) = 1
Given Input numbers are 394, 118, 91, 113
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Greatest Common Divisior
We found the divisors of 394, 118, 91, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 118, 91, 113 is 1.
Therefore, GCD of numbers 394, 118, 91, 113 is 1
Given Input Data is 394, 118, 91, 113
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 394 is 2 x 197
Prime Factorization of 118 is 2 x 59
Prime Factorization of 91 is 7 x 13
Prime Factorization of 113 is 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(394, 118) = 23246
GCD(394, 118) = ( 394 x 118 ) / 23246
GCD(394, 118) = 46492 / 23246
GCD(394, 118) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 91) = 182
GCD(2, 91) = ( 2 x 91 ) / 182
GCD(2, 91) = 182 / 182
GCD(2, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 113
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 113) = 113
GCD(1, 113) = ( 1 x 113 ) / 113
GCD(1, 113) = 113 / 113
GCD(1, 113) = 1
GCD of 394, 118, 91, 113 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 394, 118, 91, 113?
GCD of 394, 118, 91, 113 is 1
2. Where do I get the detailed procedure to find GCD of 394, 118, 91, 113?
You can find a detailed procedure to find GCD of 394, 118, 91, 113 on our page.
3. How to find GCD of 394, 118, 91, 113 on a calculator?
You can find the GCD of 394, 118, 91, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.