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 982, 939, 90, 717 i.e. 1 largest integer that divides all the numbers equally.
GCD of 982, 939, 90, 717 is 1
GCD(982, 939, 90, 717) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 982, 939, 90, 717 is 1
GCD(982, 939, 90, 717) = 1
Given Input numbers are 982, 939, 90, 717
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 982
List of positive integer divisors of 982 that divides 982 without a remainder.
1, 2, 491, 982
Divisors of 939
List of positive integer divisors of 939 that divides 939 without a remainder.
1, 3, 313, 939
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
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 982, 939, 90, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 939, 90, 717 is 1.
Therefore, GCD of numbers 982, 939, 90, 717 is 1
Given Input Data is 982, 939, 90, 717
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 982 is 2 x 491
Prime Factorization of 939 is 3 x 313
Prime Factorization of 90 is 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(982, 939) = 922098
GCD(982, 939) = ( 982 x 939 ) / 922098
GCD(982, 939) = 922098 / 922098
GCD(982, 939) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 90) = 90
GCD(1, 90) = ( 1 x 90 ) / 90
GCD(1, 90) = 90 / 90
GCD(1, 90) = 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 982, 939, 90, 717 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 982, 939, 90, 717?
GCD of 982, 939, 90, 717 is 1
2. Where do I get the detailed procedure to find GCD of 982, 939, 90, 717?
You can find a detailed procedure to find GCD of 982, 939, 90, 717 on our page.
3. How to find GCD of 982, 939, 90, 717 on a calculator?
You can find the GCD of 982, 939, 90, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.