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 199, 971, 985, 331 i.e. 1 largest integer that divides all the numbers equally.
GCD of 199, 971, 985, 331 is 1
GCD(199, 971, 985, 331) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 199, 971, 985, 331 is 1
GCD(199, 971, 985, 331) = 1
Given Input numbers are 199, 971, 985, 331
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 199
List of positive integer divisors of 199 that divides 199 without a remainder.
1, 199
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Divisors of 985
List of positive integer divisors of 985 that divides 985 without a remainder.
1, 5, 197, 985
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Greatest Common Divisior
We found the divisors of 199, 971, 985, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 971, 985, 331 is 1.
Therefore, GCD of numbers 199, 971, 985, 331 is 1
Given Input Data is 199, 971, 985, 331
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 199 is 199
Prime Factorization of 971 is 971
Prime Factorization of 985 is 5 x 197
Prime Factorization of 331 is 331
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(199, 971) = 193229
GCD(199, 971) = ( 199 x 971 ) / 193229
GCD(199, 971) = 193229 / 193229
GCD(199, 971) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 985
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 985) = 985
GCD(1, 985) = ( 1 x 985 ) / 985
GCD(1, 985) = 985 / 985
GCD(1, 985) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 331
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 331) = 331
GCD(1, 331) = ( 1 x 331 ) / 331
GCD(1, 331) = 331 / 331
GCD(1, 331) = 1
GCD of 199, 971, 985, 331 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 199, 971, 985, 331?
GCD of 199, 971, 985, 331 is 1
2. Where do I get the detailed procedure to find GCD of 199, 971, 985, 331?
You can find a detailed procedure to find GCD of 199, 971, 985, 331 on our page.
3. How to find GCD of 199, 971, 985, 331 on a calculator?
You can find the GCD of 199, 971, 985, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.