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 717, 902, 767, 861 i.e. 1 largest integer that divides all the numbers equally.
GCD of 717, 902, 767, 861 is 1
GCD(717, 902, 767, 861) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 717, 902, 767, 861 is 1
GCD(717, 902, 767, 861) = 1
Given Input numbers are 717, 902, 767, 861
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 717
List of positive integer divisors of 717 that divides 717 without a remainder.
1, 3, 239, 717
Divisors of 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Divisors of 861
List of positive integer divisors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
Greatest Common Divisior
We found the divisors of 717, 902, 767, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 717, 902, 767, 861 is 1.
Therefore, GCD of numbers 717, 902, 767, 861 is 1
Given Input Data is 717, 902, 767, 861
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 717 is 3 x 239
Prime Factorization of 902 is 2 x 11 x 41
Prime Factorization of 767 is 13 x 59
Prime Factorization of 861 is 3 x 7 x 41
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(717, 902) = 646734
GCD(717, 902) = ( 717 x 902 ) / 646734
GCD(717, 902) = 646734 / 646734
GCD(717, 902) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 767
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 767) = 767
GCD(1, 767) = ( 1 x 767 ) / 767
GCD(1, 767) = 767 / 767
GCD(1, 767) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 861
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 861) = 861
GCD(1, 861) = ( 1 x 861 ) / 861
GCD(1, 861) = 861 / 861
GCD(1, 861) = 1
GCD of 717, 902, 767, 861 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 717, 902, 767, 861?
GCD of 717, 902, 767, 861 is 1
2. Where do I get the detailed procedure to find GCD of 717, 902, 767, 861?
You can find a detailed procedure to find GCD of 717, 902, 767, 861 on our page.
3. How to find GCD of 717, 902, 767, 861 on a calculator?
You can find the GCD of 717, 902, 767, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.