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, 102, 915, 697 i.e. 1 largest integer that divides all the numbers equally.
GCD of 997, 102, 915, 697 is 1
GCD(997, 102, 915, 697) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 997, 102, 915, 697 is 1
GCD(997, 102, 915, 697) = 1
Given Input numbers are 997, 102, 915, 697
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 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 915
List of positive integer divisors of 915 that divides 915 without a remainder.
1, 3, 5, 15, 61, 183, 305, 915
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Greatest Common Divisior
We found the divisors of 997, 102, 915, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 997, 102, 915, 697 is 1.
Therefore, GCD of numbers 997, 102, 915, 697 is 1
Given Input Data is 997, 102, 915, 697
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 997 is 997
Prime Factorization of 102 is 2 x 3 x 17
Prime Factorization of 915 is 3 x 5 x 61
Prime Factorization of 697 is 17 x 41
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, 102) = 101694
GCD(997, 102) = ( 997 x 102 ) / 101694
GCD(997, 102) = 101694 / 101694
GCD(997, 102) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 915
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 915) = 915
GCD(1, 915) = ( 1 x 915 ) / 915
GCD(1, 915) = 915 / 915
GCD(1, 915) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 697
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 697) = 697
GCD(1, 697) = ( 1 x 697 ) / 697
GCD(1, 697) = 697 / 697
GCD(1, 697) = 1
GCD of 997, 102, 915, 697 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 997, 102, 915, 697?
GCD of 997, 102, 915, 697 is 1
2. Where do I get the detailed procedure to find GCD of 997, 102, 915, 697?
You can find a detailed procedure to find GCD of 997, 102, 915, 697 on our page.
3. How to find GCD of 997, 102, 915, 697 on a calculator?
You can find the GCD of 997, 102, 915, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.