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, 279, 387, 566 i.e. 1 largest integer that divides all the numbers equally.
GCD of 82, 279, 387, 566 is 1
GCD(82, 279, 387, 566) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 82, 279, 387, 566 is 1
GCD(82, 279, 387, 566) = 1
Given Input numbers are 82, 279, 387, 566
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 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 566
List of positive integer divisors of 566 that divides 566 without a remainder.
1, 2, 283, 566
Greatest Common Divisior
We found the divisors of 82, 279, 387, 566 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 279, 387, 566 is 1.
Therefore, GCD of numbers 82, 279, 387, 566 is 1
Given Input Data is 82, 279, 387, 566
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 82 is 2 x 41
Prime Factorization of 279 is 3 x 3 x 31
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 566 is 2 x 283
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, 279) = 22878
GCD(82, 279) = ( 82 x 279 ) / 22878
GCD(82, 279) = 22878 / 22878
GCD(82, 279) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 387
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 387) = 387
GCD(1, 387) = ( 1 x 387 ) / 387
GCD(1, 387) = 387 / 387
GCD(1, 387) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 566
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 566) = 566
GCD(1, 566) = ( 1 x 566 ) / 566
GCD(1, 566) = 566 / 566
GCD(1, 566) = 1
GCD of 82, 279, 387, 566 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 82, 279, 387, 566?
GCD of 82, 279, 387, 566 is 1
2. Where do I get the detailed procedure to find GCD of 82, 279, 387, 566?
You can find a detailed procedure to find GCD of 82, 279, 387, 566 on our page.
3. How to find GCD of 82, 279, 387, 566 on a calculator?
You can find the GCD of 82, 279, 387, 566 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.