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, 991, 993, 976 i.e. 1 largest integer that divides all the numbers equally.
GCD of 982, 991, 993, 976 is 1
GCD(982, 991, 993, 976) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 982, 991, 993, 976 is 1
GCD(982, 991, 993, 976) = 1
Given Input numbers are 982, 991, 993, 976
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 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Divisors of 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Greatest Common Divisior
We found the divisors of 982, 991, 993, 976 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 991, 993, 976 is 1.
Therefore, GCD of numbers 982, 991, 993, 976 is 1
Given Input Data is 982, 991, 993, 976
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 982 is 2 x 491
Prime Factorization of 991 is 991
Prime Factorization of 993 is 3 x 331
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
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, 991) = 973162
GCD(982, 991) = ( 982 x 991 ) / 973162
GCD(982, 991) = 973162 / 973162
GCD(982, 991) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 993
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 993) = 993
GCD(1, 993) = ( 1 x 993 ) / 993
GCD(1, 993) = 993 / 993
GCD(1, 993) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 976
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 976) = 976
GCD(1, 976) = ( 1 x 976 ) / 976
GCD(1, 976) = 976 / 976
GCD(1, 976) = 1
GCD of 982, 991, 993, 976 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 982, 991, 993, 976?
GCD of 982, 991, 993, 976 is 1
2. Where do I get the detailed procedure to find GCD of 982, 991, 993, 976?
You can find a detailed procedure to find GCD of 982, 991, 993, 976 on our page.
3. How to find GCD of 982, 991, 993, 976 on a calculator?
You can find the GCD of 982, 991, 993, 976 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.