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 68, 393, 187, 914 i.e. 1 largest integer that divides all the numbers equally.
GCD of 68, 393, 187, 914 is 1
GCD(68, 393, 187, 914) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 68, 393, 187, 914 is 1
GCD(68, 393, 187, 914) = 1
Given Input numbers are 68, 393, 187, 914
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Divisors of 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Divisors of 914
List of positive integer divisors of 914 that divides 914 without a remainder.
1, 2, 457, 914
Greatest Common Divisior
We found the divisors of 68, 393, 187, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 393, 187, 914 is 1.
Therefore, GCD of numbers 68, 393, 187, 914 is 1
Given Input Data is 68, 393, 187, 914
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 393 is 3 x 131
Prime Factorization of 187 is 11 x 17
Prime Factorization of 914 is 2 x 457
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(68, 393) = 26724
GCD(68, 393) = ( 68 x 393 ) / 26724
GCD(68, 393) = 26724 / 26724
GCD(68, 393) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 187
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 187) = 187
GCD(1, 187) = ( 1 x 187 ) / 187
GCD(1, 187) = 187 / 187
GCD(1, 187) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 914
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 914) = 914
GCD(1, 914) = ( 1 x 914 ) / 914
GCD(1, 914) = 914 / 914
GCD(1, 914) = 1
GCD of 68, 393, 187, 914 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 68, 393, 187, 914?
GCD of 68, 393, 187, 914 is 1
2. Where do I get the detailed procedure to find GCD of 68, 393, 187, 914?
You can find a detailed procedure to find GCD of 68, 393, 187, 914 on our page.
3. How to find GCD of 68, 393, 187, 914 on a calculator?
You can find the GCD of 68, 393, 187, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.