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 660, 872, 920, 717 i.e. 1 largest integer that divides all the numbers equally.
GCD of 660, 872, 920, 717 is 1
GCD(660, 872, 920, 717) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 660, 872, 920, 717 is 1
GCD(660, 872, 920, 717) = 1
Given Input numbers are 660, 872, 920, 717
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 717
List of positive integer divisors of 717 that divides 717 without a remainder.
1, 3, 239, 717
Greatest Common Divisior
We found the divisors of 660, 872, 920, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 872, 920, 717 is 1.
Therefore, GCD of numbers 660, 872, 920, 717 is 1
Given Input Data is 660, 872, 920, 717
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 872 is 2 x 2 x 2 x 109
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 717 is 3 x 239
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(660, 872) = 143880
GCD(660, 872) = ( 660 x 872 ) / 143880
GCD(660, 872) = 575520 / 143880
GCD(660, 872) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 920
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 920) = 920
GCD(4, 920) = ( 4 x 920 ) / 920
GCD(4, 920) = 3680 / 920
GCD(4, 920) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 717
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 717) = 2868
GCD(4, 717) = ( 4 x 717 ) / 2868
GCD(4, 717) = 2868 / 2868
GCD(4, 717) = 1
GCD of 660, 872, 920, 717 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 660, 872, 920, 717?
GCD of 660, 872, 920, 717 is 1
2. Where do I get the detailed procedure to find GCD of 660, 872, 920, 717?
You can find a detailed procedure to find GCD of 660, 872, 920, 717 on our page.
3. How to find GCD of 660, 872, 920, 717 on a calculator?
You can find the GCD of 660, 872, 920, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.