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 11, 358, 116, 296 i.e. 1 largest integer that divides all the numbers equally.
GCD of 11, 358, 116, 296 is 1
GCD(11, 358, 116, 296) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 11, 358, 116, 296 is 1
GCD(11, 358, 116, 296) = 1
Given Input numbers are 11, 358, 116, 296
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Divisors of 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Greatest Common Divisior
We found the divisors of 11, 358, 116, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 11, 358, 116, 296 is 1.
Therefore, GCD of numbers 11, 358, 116, 296 is 1
Given Input Data is 11, 358, 116, 296
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 11 is 11
Prime Factorization of 358 is 2 x 179
Prime Factorization of 116 is 2 x 2 x 29
Prime Factorization of 296 is 2 x 2 x 2 x 37
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(11, 358) = 3938
GCD(11, 358) = ( 11 x 358 ) / 3938
GCD(11, 358) = 3938 / 3938
GCD(11, 358) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 116
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 116) = 116
GCD(1, 116) = ( 1 x 116 ) / 116
GCD(1, 116) = 116 / 116
GCD(1, 116) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 296
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 296) = 296
GCD(1, 296) = ( 1 x 296 ) / 296
GCD(1, 296) = 296 / 296
GCD(1, 296) = 1
GCD of 11, 358, 116, 296 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 11, 358, 116, 296?
GCD of 11, 358, 116, 296 is 1
2. Where do I get the detailed procedure to find GCD of 11, 358, 116, 296?
You can find a detailed procedure to find GCD of 11, 358, 116, 296 on our page.
3. How to find GCD of 11, 358, 116, 296 on a calculator?
You can find the GCD of 11, 358, 116, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.