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 996, 433, 74, 808 i.e. 1 largest integer that divides all the numbers equally.
GCD of 996, 433, 74, 808 is 1
GCD(996, 433, 74, 808) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 996, 433, 74, 808 is 1
GCD(996, 433, 74, 808) = 1
Given Input numbers are 996, 433, 74, 808
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 433
List of positive integer divisors of 433 that divides 433 without a remainder.
1, 433
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Greatest Common Divisior
We found the divisors of 996, 433, 74, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 433, 74, 808 is 1.
Therefore, GCD of numbers 996, 433, 74, 808 is 1
Given Input Data is 996, 433, 74, 808
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 433 is 433
Prime Factorization of 74 is 2 x 37
Prime Factorization of 808 is 2 x 2 x 2 x 101
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(996, 433) = 431268
GCD(996, 433) = ( 996 x 433 ) / 431268
GCD(996, 433) = 431268 / 431268
GCD(996, 433) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 74) = 74
GCD(1, 74) = ( 1 x 74 ) / 74
GCD(1, 74) = 74 / 74
GCD(1, 74) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 808
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 808) = 808
GCD(1, 808) = ( 1 x 808 ) / 808
GCD(1, 808) = 808 / 808
GCD(1, 808) = 1
GCD of 996, 433, 74, 808 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 996, 433, 74, 808?
GCD of 996, 433, 74, 808 is 1
2. Where do I get the detailed procedure to find GCD of 996, 433, 74, 808?
You can find a detailed procedure to find GCD of 996, 433, 74, 808 on our page.
3. How to find GCD of 996, 433, 74, 808 on a calculator?
You can find the GCD of 996, 433, 74, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.