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, 918, 664, 768 i.e. 1 largest integer that divides all the numbers equally.
GCD of 717, 918, 664, 768 is 1
GCD(717, 918, 664, 768) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 717, 918, 664, 768 is 1
GCD(717, 918, 664, 768) = 1
Given Input numbers are 717, 918, 664, 768
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 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 768
List of positive integer divisors of 768 that divides 768 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Greatest Common Divisior
We found the divisors of 717, 918, 664, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 717, 918, 664, 768 is 1.
Therefore, GCD of numbers 717, 918, 664, 768 is 1
Given Input Data is 717, 918, 664, 768
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 717 is 3 x 239
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 664 is 2 x 2 x 2 x 83
Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
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, 918) = 219402
GCD(717, 918) = ( 717 x 918 ) / 219402
GCD(717, 918) = 658206 / 219402
GCD(717, 918) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 664
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 664) = 1992
GCD(3, 664) = ( 3 x 664 ) / 1992
GCD(3, 664) = 1992 / 1992
GCD(3, 664) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 768
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 768) = 768
GCD(1, 768) = ( 1 x 768 ) / 768
GCD(1, 768) = 768 / 768
GCD(1, 768) = 1
GCD of 717, 918, 664, 768 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 717, 918, 664, 768?
GCD of 717, 918, 664, 768 is 1
2. Where do I get the detailed procedure to find GCD of 717, 918, 664, 768?
You can find a detailed procedure to find GCD of 717, 918, 664, 768 on our page.
3. How to find GCD of 717, 918, 664, 768 on a calculator?
You can find the GCD of 717, 918, 664, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.