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 297, 697, 83, 903 i.e. 1 largest integer that divides all the numbers equally.
GCD of 297, 697, 83, 903 is 1
GCD(297, 697, 83, 903) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 297, 697, 83, 903 is 1
GCD(297, 697, 83, 903) = 1
Given Input numbers are 297, 697, 83, 903
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 903
List of positive integer divisors of 903 that divides 903 without a remainder.
1, 3, 7, 21, 43, 129, 301, 903
Greatest Common Divisior
We found the divisors of 297, 697, 83, 903 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 697, 83, 903 is 1.
Therefore, GCD of numbers 297, 697, 83, 903 is 1
Given Input Data is 297, 697, 83, 903
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 297 is 3 x 3 x 3 x 11
Prime Factorization of 697 is 17 x 41
Prime Factorization of 83 is 83
Prime Factorization of 903 is 3 x 7 x 43
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(297, 697) = 207009
GCD(297, 697) = ( 297 x 697 ) / 207009
GCD(297, 697) = 207009 / 207009
GCD(297, 697) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 83) = 83
GCD(1, 83) = ( 1 x 83 ) / 83
GCD(1, 83) = 83 / 83
GCD(1, 83) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 903
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 903) = 903
GCD(1, 903) = ( 1 x 903 ) / 903
GCD(1, 903) = 903 / 903
GCD(1, 903) = 1
GCD of 297, 697, 83, 903 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 297, 697, 83, 903?
GCD of 297, 697, 83, 903 is 1
2. Where do I get the detailed procedure to find GCD of 297, 697, 83, 903?
You can find a detailed procedure to find GCD of 297, 697, 83, 903 on our page.
3. How to find GCD of 297, 697, 83, 903 on a calculator?
You can find the GCD of 297, 697, 83, 903 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.