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 498, 831, 393, 833 i.e. 1 largest integer that divides all the numbers equally.
GCD of 498, 831, 393, 833 is 1
GCD(498, 831, 393, 833) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 498, 831, 393, 833 is 1
GCD(498, 831, 393, 833) = 1
Given Input numbers are 498, 831, 393, 833
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 498
List of positive integer divisors of 498 that divides 498 without a remainder.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Divisors of 833
List of positive integer divisors of 833 that divides 833 without a remainder.
1, 7, 17, 49, 119, 833
Greatest Common Divisior
We found the divisors of 498, 831, 393, 833 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 831, 393, 833 is 1.
Therefore, GCD of numbers 498, 831, 393, 833 is 1
Given Input Data is 498, 831, 393, 833
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 498 is 2 x 3 x 83
Prime Factorization of 831 is 3 x 277
Prime Factorization of 393 is 3 x 131
Prime Factorization of 833 is 7 x 7 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(498, 831) = 137946
GCD(498, 831) = ( 498 x 831 ) / 137946
GCD(498, 831) = 413838 / 137946
GCD(498, 831) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 393
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 393) = 393
GCD(3, 393) = ( 3 x 393 ) / 393
GCD(3, 393) = 1179 / 393
GCD(3, 393) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 833
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 833) = 2499
GCD(3, 833) = ( 3 x 833 ) / 2499
GCD(3, 833) = 2499 / 2499
GCD(3, 833) = 1
GCD of 498, 831, 393, 833 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 498, 831, 393, 833?
GCD of 498, 831, 393, 833 is 1
2. Where do I get the detailed procedure to find GCD of 498, 831, 393, 833?
You can find a detailed procedure to find GCD of 498, 831, 393, 833 on our page.
3. How to find GCD of 498, 831, 393, 833 on a calculator?
You can find the GCD of 498, 831, 393, 833 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.