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, 986, 23, 408 i.e. 1 largest integer that divides all the numbers equally.
GCD of 297, 986, 23, 408 is 1
GCD(297, 986, 23, 408) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 297, 986, 23, 408 is 1
GCD(297, 986, 23, 408) = 1
Given Input numbers are 297, 986, 23, 408
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 986
List of positive integer divisors of 986 that divides 986 without a remainder.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 408
List of positive integer divisors of 408 that divides 408 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Greatest Common Divisior
We found the divisors of 297, 986, 23, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 986, 23, 408 is 1.
Therefore, GCD of numbers 297, 986, 23, 408 is 1
Given Input Data is 297, 986, 23, 408
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 986 is 2 x 17 x 29
Prime Factorization of 23 is 23
Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17
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, 986) = 292842
GCD(297, 986) = ( 297 x 986 ) / 292842
GCD(297, 986) = 292842 / 292842
GCD(297, 986) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 23) = 23
GCD(1, 23) = ( 1 x 23 ) / 23
GCD(1, 23) = 23 / 23
GCD(1, 23) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 408
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 408) = 408
GCD(1, 408) = ( 1 x 408 ) / 408
GCD(1, 408) = 408 / 408
GCD(1, 408) = 1
GCD of 297, 986, 23, 408 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 297, 986, 23, 408?
GCD of 297, 986, 23, 408 is 1
2. Where do I get the detailed procedure to find GCD of 297, 986, 23, 408?
You can find a detailed procedure to find GCD of 297, 986, 23, 408 on our page.
3. How to find GCD of 297, 986, 23, 408 on a calculator?
You can find the GCD of 297, 986, 23, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.