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 298, 279, 331, 793 i.e. 1 largest integer that divides all the numbers equally.
GCD of 298, 279, 331, 793 is 1
GCD(298, 279, 331, 793) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 298, 279, 331, 793 is 1
GCD(298, 279, 331, 793) = 1
Given Input numbers are 298, 279, 331, 793
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Divisors of 793
List of positive integer divisors of 793 that divides 793 without a remainder.
1, 13, 61, 793
Greatest Common Divisior
We found the divisors of 298, 279, 331, 793 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 279, 331, 793 is 1.
Therefore, GCD of numbers 298, 279, 331, 793 is 1
Given Input Data is 298, 279, 331, 793
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 298 is 2 x 149
Prime Factorization of 279 is 3 x 3 x 31
Prime Factorization of 331 is 331
Prime Factorization of 793 is 13 x 61
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(298, 279) = 83142
GCD(298, 279) = ( 298 x 279 ) / 83142
GCD(298, 279) = 83142 / 83142
GCD(298, 279) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 331
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 331) = 331
GCD(1, 331) = ( 1 x 331 ) / 331
GCD(1, 331) = 331 / 331
GCD(1, 331) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 793
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 793) = 793
GCD(1, 793) = ( 1 x 793 ) / 793
GCD(1, 793) = 793 / 793
GCD(1, 793) = 1
GCD of 298, 279, 331, 793 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 298, 279, 331, 793?
GCD of 298, 279, 331, 793 is 1
2. Where do I get the detailed procedure to find GCD of 298, 279, 331, 793?
You can find a detailed procedure to find GCD of 298, 279, 331, 793 on our page.
3. How to find GCD of 298, 279, 331, 793 on a calculator?
You can find the GCD of 298, 279, 331, 793 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.