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 82, 659, 383, 394 i.e. 1 largest integer that divides all the numbers equally.
GCD of 82, 659, 383, 394 is 1
GCD(82, 659, 383, 394) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 82, 659, 383, 394 is 1
GCD(82, 659, 383, 394) = 1
Given Input numbers are 82, 659, 383, 394
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 659
List of positive integer divisors of 659 that divides 659 without a remainder.
1, 659
Divisors of 383
List of positive integer divisors of 383 that divides 383 without a remainder.
1, 383
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Greatest Common Divisior
We found the divisors of 82, 659, 383, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 659, 383, 394 is 1.
Therefore, GCD of numbers 82, 659, 383, 394 is 1
Given Input Data is 82, 659, 383, 394
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 82 is 2 x 41
Prime Factorization of 659 is 659
Prime Factorization of 383 is 383
Prime Factorization of 394 is 2 x 197
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(82, 659) = 54038
GCD(82, 659) = ( 82 x 659 ) / 54038
GCD(82, 659) = 54038 / 54038
GCD(82, 659) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 383
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 383) = 383
GCD(1, 383) = ( 1 x 383 ) / 383
GCD(1, 383) = 383 / 383
GCD(1, 383) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 394
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 394) = 394
GCD(1, 394) = ( 1 x 394 ) / 394
GCD(1, 394) = 394 / 394
GCD(1, 394) = 1
GCD of 82, 659, 383, 394 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 82, 659, 383, 394?
GCD of 82, 659, 383, 394 is 1
2. Where do I get the detailed procedure to find GCD of 82, 659, 383, 394?
You can find a detailed procedure to find GCD of 82, 659, 383, 394 on our page.
3. How to find GCD of 82, 659, 383, 394 on a calculator?
You can find the GCD of 82, 659, 383, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.