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 696, 717, 403, 965 i.e. 1 largest integer that divides all the numbers equally.
GCD of 696, 717, 403, 965 is 1
GCD(696, 717, 403, 965) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 696, 717, 403, 965 is 1
GCD(696, 717, 403, 965) = 1
Given Input numbers are 696, 717, 403, 965
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 717
List of positive integer divisors of 717 that divides 717 without a remainder.
1, 3, 239, 717
Divisors of 403
List of positive integer divisors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Divisors of 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Greatest Common Divisior
We found the divisors of 696, 717, 403, 965 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 717, 403, 965 is 1.
Therefore, GCD of numbers 696, 717, 403, 965 is 1
Given Input Data is 696, 717, 403, 965
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 717 is 3 x 239
Prime Factorization of 403 is 13 x 31
Prime Factorization of 965 is 5 x 193
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(696, 717) = 166344
GCD(696, 717) = ( 696 x 717 ) / 166344
GCD(696, 717) = 499032 / 166344
GCD(696, 717) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 403
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 403) = 1209
GCD(3, 403) = ( 3 x 403 ) / 1209
GCD(3, 403) = 1209 / 1209
GCD(3, 403) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 965
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 965) = 965
GCD(1, 965) = ( 1 x 965 ) / 965
GCD(1, 965) = 965 / 965
GCD(1, 965) = 1
GCD of 696, 717, 403, 965 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 696, 717, 403, 965?
GCD of 696, 717, 403, 965 is 1
2. Where do I get the detailed procedure to find GCD of 696, 717, 403, 965?
You can find a detailed procedure to find GCD of 696, 717, 403, 965 on our page.
3. How to find GCD of 696, 717, 403, 965 on a calculator?
You can find the GCD of 696, 717, 403, 965 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.