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, 584, 380, 777 i.e. 1 largest integer that divides all the numbers equally.
GCD of 717, 584, 380, 777 is 1
GCD(717, 584, 380, 777) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 717, 584, 380, 777 is 1
GCD(717, 584, 380, 777) = 1
Given Input numbers are 717, 584, 380, 777
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 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Greatest Common Divisior
We found the divisors of 717, 584, 380, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 717, 584, 380, 777 is 1.
Therefore, GCD of numbers 717, 584, 380, 777 is 1
Given Input Data is 717, 584, 380, 777
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 717 is 3 x 239
Prime Factorization of 584 is 2 x 2 x 2 x 73
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 777 is 3 x 7 x 37
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, 584) = 418728
GCD(717, 584) = ( 717 x 584 ) / 418728
GCD(717, 584) = 418728 / 418728
GCD(717, 584) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 380
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 380) = 380
GCD(1, 380) = ( 1 x 380 ) / 380
GCD(1, 380) = 380 / 380
GCD(1, 380) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 777
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 777) = 777
GCD(1, 777) = ( 1 x 777 ) / 777
GCD(1, 777) = 777 / 777
GCD(1, 777) = 1
GCD of 717, 584, 380, 777 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 717, 584, 380, 777?
GCD of 717, 584, 380, 777 is 1
2. Where do I get the detailed procedure to find GCD of 717, 584, 380, 777?
You can find a detailed procedure to find GCD of 717, 584, 380, 777 on our page.
3. How to find GCD of 717, 584, 380, 777 on a calculator?
You can find the GCD of 717, 584, 380, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.