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 997, 965, 11, 217 i.e. 1 largest integer that divides all the numbers equally.
GCD of 997, 965, 11, 217 is 1
GCD(997, 965, 11, 217) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 997, 965, 11, 217 is 1
GCD(997, 965, 11, 217) = 1
Given Input numbers are 997, 965, 11, 217
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Divisors of 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
Greatest Common Divisior
We found the divisors of 997, 965, 11, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 997, 965, 11, 217 is 1.
Therefore, GCD of numbers 997, 965, 11, 217 is 1
Given Input Data is 997, 965, 11, 217
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 997 is 997
Prime Factorization of 965 is 5 x 193
Prime Factorization of 11 is 11
Prime Factorization of 217 is 7 x 31
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(997, 965) = 962105
GCD(997, 965) = ( 997 x 965 ) / 962105
GCD(997, 965) = 962105 / 962105
GCD(997, 965) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 11) = 11
GCD(1, 11) = ( 1 x 11 ) / 11
GCD(1, 11) = 11 / 11
GCD(1, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 217
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 217) = 217
GCD(1, 217) = ( 1 x 217 ) / 217
GCD(1, 217) = 217 / 217
GCD(1, 217) = 1
GCD of 997, 965, 11, 217 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 997, 965, 11, 217?
GCD of 997, 965, 11, 217 is 1
2. Where do I get the detailed procedure to find GCD of 997, 965, 11, 217?
You can find a detailed procedure to find GCD of 997, 965, 11, 217 on our page.
3. How to find GCD of 997, 965, 11, 217 on a calculator?
You can find the GCD of 997, 965, 11, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.