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, 819, 90, 688 i.e. 1 largest integer that divides all the numbers equally.
GCD of 716, 819, 90, 688 is 1
GCD(716, 819, 90, 688) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 716, 819, 90, 688 is 1
GCD(716, 819, 90, 688) = 1
Given Input numbers are 716, 819, 90, 688
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 819
List of positive integer divisors of 819 that divides 819 without a remainder.
1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Greatest Common Divisior
We found the divisors of 716, 819, 90, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 819, 90, 688 is 1.
Therefore, GCD of numbers 716, 819, 90, 688 is 1
Given Input Data is 716, 819, 90, 688
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 819 is 3 x 3 x 7 x 13
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
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, 819) = 586404
GCD(716, 819) = ( 716 x 819 ) / 586404
GCD(716, 819) = 586404 / 586404
GCD(716, 819) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 90) = 90
GCD(1, 90) = ( 1 x 90 ) / 90
GCD(1, 90) = 90 / 90
GCD(1, 90) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 688
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 688) = 688
GCD(1, 688) = ( 1 x 688 ) / 688
GCD(1, 688) = 688 / 688
GCD(1, 688) = 1
GCD of 716, 819, 90, 688 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 716, 819, 90, 688?
GCD of 716, 819, 90, 688 is 1
2. Where do I get the detailed procedure to find GCD of 716, 819, 90, 688?
You can find a detailed procedure to find GCD of 716, 819, 90, 688 on our page.
3. How to find GCD of 716, 819, 90, 688 on a calculator?
You can find the GCD of 716, 819, 90, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.