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 371, 983, 609, 717 i.e. 1 largest integer that divides all the numbers equally.
GCD of 371, 983, 609, 717 is 1
GCD(371, 983, 609, 717) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 371, 983, 609, 717 is 1
GCD(371, 983, 609, 717) = 1
Given Input numbers are 371, 983, 609, 717
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Divisors of 983
List of positive integer divisors of 983 that divides 983 without a remainder.
1, 983
Divisors of 609
List of positive integer divisors of 609 that divides 609 without a remainder.
1, 3, 7, 21, 29, 87, 203, 609
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 371, 983, 609, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 371, 983, 609, 717 is 1.
Therefore, GCD of numbers 371, 983, 609, 717 is 1
Given Input Data is 371, 983, 609, 717
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 371 is 7 x 53
Prime Factorization of 983 is 983
Prime Factorization of 609 is 3 x 7 x 29
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(371, 983) = 364693
GCD(371, 983) = ( 371 x 983 ) / 364693
GCD(371, 983) = 364693 / 364693
GCD(371, 983) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 609
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 609) = 609
GCD(1, 609) = ( 1 x 609 ) / 609
GCD(1, 609) = 609 / 609
GCD(1, 609) = 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 371, 983, 609, 717 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 371, 983, 609, 717?
GCD of 371, 983, 609, 717 is 1
2. Where do I get the detailed procedure to find GCD of 371, 983, 609, 717?
You can find a detailed procedure to find GCD of 371, 983, 609, 717 on our page.
3. How to find GCD of 371, 983, 609, 717 on a calculator?
You can find the GCD of 371, 983, 609, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.