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 716, 803, 13, 382 i.e. 1 largest integer that divides all the numbers equally.
GCD of 716, 803, 13, 382 is 1
GCD(716, 803, 13, 382) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 716, 803, 13, 382 is 1
GCD(716, 803, 13, 382) = 1
Given Input numbers are 716, 803, 13, 382
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Divisors of 803
List of positive integer divisors of 803 that divides 803 without a remainder.
1, 11, 73, 803
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Greatest Common Divisior
We found the divisors of 716, 803, 13, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 803, 13, 382 is 1.
Therefore, GCD of numbers 716, 803, 13, 382 is 1
Given Input Data is 716, 803, 13, 382
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 716 is 2 x 2 x 179
Prime Factorization of 803 is 11 x 73
Prime Factorization of 13 is 13
Prime Factorization of 382 is 2 x 191
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(716, 803) = 574948
GCD(716, 803) = ( 716 x 803 ) / 574948
GCD(716, 803) = 574948 / 574948
GCD(716, 803) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 13) = 13
GCD(1, 13) = ( 1 x 13 ) / 13
GCD(1, 13) = 13 / 13
GCD(1, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 382
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 382) = 382
GCD(1, 382) = ( 1 x 382 ) / 382
GCD(1, 382) = 382 / 382
GCD(1, 382) = 1
GCD of 716, 803, 13, 382 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 716, 803, 13, 382?
GCD of 716, 803, 13, 382 is 1
2. Where do I get the detailed procedure to find GCD of 716, 803, 13, 382?
You can find a detailed procedure to find GCD of 716, 803, 13, 382 on our page.
3. How to find GCD of 716, 803, 13, 382 on a calculator?
You can find the GCD of 716, 803, 13, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.