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 102, 393, 820, 856 i.e. 1 largest integer that divides all the numbers equally.
GCD of 102, 393, 820, 856 is 1
GCD(102, 393, 820, 856) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 102, 393, 820, 856 is 1
GCD(102, 393, 820, 856) = 1
Given Input numbers are 102, 393, 820, 856
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 856
List of positive integer divisors of 856 that divides 856 without a remainder.
1, 2, 4, 8, 107, 214, 428, 856
Greatest Common Divisior
We found the divisors of 102, 393, 820, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 393, 820, 856 is 1.
Therefore, GCD of numbers 102, 393, 820, 856 is 1
Given Input Data is 102, 393, 820, 856
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 102 is 2 x 3 x 17
Prime Factorization of 393 is 3 x 131
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 856 is 2 x 2 x 2 x 107
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(102, 393) = 13362
GCD(102, 393) = ( 102 x 393 ) / 13362
GCD(102, 393) = 40086 / 13362
GCD(102, 393) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 820
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 820) = 2460
GCD(3, 820) = ( 3 x 820 ) / 2460
GCD(3, 820) = 2460 / 2460
GCD(3, 820) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 856
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 856) = 856
GCD(1, 856) = ( 1 x 856 ) / 856
GCD(1, 856) = 856 / 856
GCD(1, 856) = 1
GCD of 102, 393, 820, 856 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 102, 393, 820, 856?
GCD of 102, 393, 820, 856 is 1
2. Where do I get the detailed procedure to find GCD of 102, 393, 820, 856?
You can find a detailed procedure to find GCD of 102, 393, 820, 856 on our page.
3. How to find GCD of 102, 393, 820, 856 on a calculator?
You can find the GCD of 102, 393, 820, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.