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 398, 688, 873, 459 i.e. 1 largest integer that divides all the numbers equally.
GCD of 398, 688, 873, 459 is 1
GCD(398, 688, 873, 459) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 398, 688, 873, 459 is 1
GCD(398, 688, 873, 459) = 1
Given Input numbers are 398, 688, 873, 459
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Divisors of 459
List of positive integer divisors of 459 that divides 459 without a remainder.
1, 3, 9, 17, 27, 51, 153, 459
Greatest Common Divisior
We found the divisors of 398, 688, 873, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 688, 873, 459 is 1.
Therefore, GCD of numbers 398, 688, 873, 459 is 1
Given Input Data is 398, 688, 873, 459
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 398 is 2 x 199
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 873 is 3 x 3 x 97
Prime Factorization of 459 is 3 x 3 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(398, 688) = 136912
GCD(398, 688) = ( 398 x 688 ) / 136912
GCD(398, 688) = 273824 / 136912
GCD(398, 688) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 873
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 873) = 1746
GCD(2, 873) = ( 2 x 873 ) / 1746
GCD(2, 873) = 1746 / 1746
GCD(2, 873) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 459
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 459) = 459
GCD(1, 459) = ( 1 x 459 ) / 459
GCD(1, 459) = 459 / 459
GCD(1, 459) = 1
GCD of 398, 688, 873, 459 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 398, 688, 873, 459?
GCD of 398, 688, 873, 459 is 1
2. Where do I get the detailed procedure to find GCD of 398, 688, 873, 459?
You can find a detailed procedure to find GCD of 398, 688, 873, 459 on our page.
3. How to find GCD of 398, 688, 873, 459 on a calculator?
You can find the GCD of 398, 688, 873, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.