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 83, 656, 381, 396 i.e. 1 largest integer that divides all the numbers equally.
GCD of 83, 656, 381, 396 is 1
GCD(83, 656, 381, 396) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 83, 656, 381, 396 is 1
GCD(83, 656, 381, 396) = 1
Given Input numbers are 83, 656, 381, 396
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 656
List of positive integer divisors of 656 that divides 656 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Greatest Common Divisior
We found the divisors of 83, 656, 381, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 656, 381, 396 is 1.
Therefore, GCD of numbers 83, 656, 381, 396 is 1
Given Input Data is 83, 656, 381, 396
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 83 is 83
Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41
Prime Factorization of 381 is 3 x 127
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
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(83, 656) = 54448
GCD(83, 656) = ( 83 x 656 ) / 54448
GCD(83, 656) = 54448 / 54448
GCD(83, 656) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 381
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 381) = 381
GCD(1, 381) = ( 1 x 381 ) / 381
GCD(1, 381) = 381 / 381
GCD(1, 381) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 396
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 396) = 396
GCD(1, 396) = ( 1 x 396 ) / 396
GCD(1, 396) = 396 / 396
GCD(1, 396) = 1
GCD of 83, 656, 381, 396 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 83, 656, 381, 396?
GCD of 83, 656, 381, 396 is 1
2. Where do I get the detailed procedure to find GCD of 83, 656, 381, 396?
You can find a detailed procedure to find GCD of 83, 656, 381, 396 on our page.
3. How to find GCD of 83, 656, 381, 396 on a calculator?
You can find the GCD of 83, 656, 381, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.