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, 382, 115, 267 i.e. 1 largest integer that divides all the numbers equally.
GCD of 68, 382, 115, 267 is 1
GCD(68, 382, 115, 267) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 68, 382, 115, 267 is 1
GCD(68, 382, 115, 267) = 1
Given Input numbers are 68, 382, 115, 267
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 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Divisors of 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Greatest Common Divisior
We found the divisors of 68, 382, 115, 267 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 382, 115, 267 is 1.
Therefore, GCD of numbers 68, 382, 115, 267 is 1
Given Input Data is 68, 382, 115, 267
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 382 is 2 x 191
Prime Factorization of 115 is 5 x 23
Prime Factorization of 267 is 3 x 89
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, 382) = 12988
GCD(68, 382) = ( 68 x 382 ) / 12988
GCD(68, 382) = 25976 / 12988
GCD(68, 382) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 115
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 115) = 230
GCD(2, 115) = ( 2 x 115 ) / 230
GCD(2, 115) = 230 / 230
GCD(2, 115) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 267
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 267) = 267
GCD(1, 267) = ( 1 x 267 ) / 267
GCD(1, 267) = 267 / 267
GCD(1, 267) = 1
GCD of 68, 382, 115, 267 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 68, 382, 115, 267?
GCD of 68, 382, 115, 267 is 1
2. Where do I get the detailed procedure to find GCD of 68, 382, 115, 267?
You can find a detailed procedure to find GCD of 68, 382, 115, 267 on our page.
3. How to find GCD of 68, 382, 115, 267 on a calculator?
You can find the GCD of 68, 382, 115, 267 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.