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, 239, 731, 768 i.e. 1 largest integer that divides all the numbers equally.
GCD of 398, 239, 731, 768 is 1
GCD(398, 239, 731, 768) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 398, 239, 731, 768 is 1
GCD(398, 239, 731, 768) = 1
Given Input numbers are 398, 239, 731, 768
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 239
List of positive integer divisors of 239 that divides 239 without a remainder.
1, 239
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Divisors of 768
List of positive integer divisors of 768 that divides 768 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Greatest Common Divisior
We found the divisors of 398, 239, 731, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 239, 731, 768 is 1.
Therefore, GCD of numbers 398, 239, 731, 768 is 1
Given Input Data is 398, 239, 731, 768
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 398 is 2 x 199
Prime Factorization of 239 is 239
Prime Factorization of 731 is 17 x 43
Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
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, 239) = 95122
GCD(398, 239) = ( 398 x 239 ) / 95122
GCD(398, 239) = 95122 / 95122
GCD(398, 239) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 731
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 731) = 731
GCD(1, 731) = ( 1 x 731 ) / 731
GCD(1, 731) = 731 / 731
GCD(1, 731) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 768
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 768) = 768
GCD(1, 768) = ( 1 x 768 ) / 768
GCD(1, 768) = 768 / 768
GCD(1, 768) = 1
GCD of 398, 239, 731, 768 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 398, 239, 731, 768?
GCD of 398, 239, 731, 768 is 1
2. Where do I get the detailed procedure to find GCD of 398, 239, 731, 768?
You can find a detailed procedure to find GCD of 398, 239, 731, 768 on our page.
3. How to find GCD of 398, 239, 731, 768 on a calculator?
You can find the GCD of 398, 239, 731, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.