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 83, 706, 180, 717 i.e. 1 largest integer that divides all the numbers equally.
GCD of 83, 706, 180, 717 is 1
GCD(83, 706, 180, 717) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 83, 706, 180, 717 is 1
GCD(83, 706, 180, 717) = 1
Given Input numbers are 83, 706, 180, 717
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 706
List of positive integer divisors of 706 that divides 706 without a remainder.
1, 2, 353, 706
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
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 83, 706, 180, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 706, 180, 717 is 1.
Therefore, GCD of numbers 83, 706, 180, 717 is 1
Given Input Data is 83, 706, 180, 717
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 83 is 83
Prime Factorization of 706 is 2 x 353
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
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(83, 706) = 58598
GCD(83, 706) = ( 83 x 706 ) / 58598
GCD(83, 706) = 58598 / 58598
GCD(83, 706) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 180
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
GCD(1, 180) = 180 / 180
GCD(1, 180) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 717
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 717) = 717
GCD(1, 717) = ( 1 x 717 ) / 717
GCD(1, 717) = 717 / 717
GCD(1, 717) = 1
GCD of 83, 706, 180, 717 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 83, 706, 180, 717?
GCD of 83, 706, 180, 717 is 1
2. Where do I get the detailed procedure to find GCD of 83, 706, 180, 717?
You can find a detailed procedure to find GCD of 83, 706, 180, 717 on our page.
3. How to find GCD of 83, 706, 180, 717 on a calculator?
You can find the GCD of 83, 706, 180, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.