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, 910, 316, 873 i.e. 1 largest integer that divides all the numbers equally.
GCD of 997, 910, 316, 873 is 1
GCD(997, 910, 316, 873) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 997, 910, 316, 873 is 1
GCD(997, 910, 316, 873) = 1
Given Input numbers are 997, 910, 316, 873
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 910
List of positive integer divisors of 910 that divides 910 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Greatest Common Divisior
We found the divisors of 997, 910, 316, 873 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 997, 910, 316, 873 is 1.
Therefore, GCD of numbers 997, 910, 316, 873 is 1
Given Input Data is 997, 910, 316, 873
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 997 is 997
Prime Factorization of 910 is 2 x 5 x 7 x 13
Prime Factorization of 316 is 2 x 2 x 79
Prime Factorization of 873 is 3 x 3 x 97
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, 910) = 907270
GCD(997, 910) = ( 997 x 910 ) / 907270
GCD(997, 910) = 907270 / 907270
GCD(997, 910) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 316
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 316) = 316
GCD(1, 316) = ( 1 x 316 ) / 316
GCD(1, 316) = 316 / 316
GCD(1, 316) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 873
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 873) = 873
GCD(1, 873) = ( 1 x 873 ) / 873
GCD(1, 873) = 873 / 873
GCD(1, 873) = 1
GCD of 997, 910, 316, 873 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 997, 910, 316, 873?
GCD of 997, 910, 316, 873 is 1
2. Where do I get the detailed procedure to find GCD of 997, 910, 316, 873?
You can find a detailed procedure to find GCD of 997, 910, 316, 873 on our page.
3. How to find GCD of 997, 910, 316, 873 on a calculator?
You can find the GCD of 997, 910, 316, 873 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.