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 306, 996, 523, 398 i.e. 1 largest integer that divides all the numbers equally.
GCD of 306, 996, 523, 398 is 1
GCD(306, 996, 523, 398) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 306, 996, 523, 398 is 1
GCD(306, 996, 523, 398) = 1
Given Input numbers are 306, 996, 523, 398
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 306
List of positive integer divisors of 306 that divides 306 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
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 523
List of positive integer divisors of 523 that divides 523 without a remainder.
1, 523
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Greatest Common Divisior
We found the divisors of 306, 996, 523, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 996, 523, 398 is 1.
Therefore, GCD of numbers 306, 996, 523, 398 is 1
Given Input Data is 306, 996, 523, 398
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 306 is 2 x 3 x 3 x 17
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 523 is 523
Prime Factorization of 398 is 2 x 199
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(306, 996) = 50796
GCD(306, 996) = ( 306 x 996 ) / 50796
GCD(306, 996) = 304776 / 50796
GCD(306, 996) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 523
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 523) = 3138
GCD(6, 523) = ( 6 x 523 ) / 3138
GCD(6, 523) = 3138 / 3138
GCD(6, 523) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 398
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 398) = 398
GCD(1, 398) = ( 1 x 398 ) / 398
GCD(1, 398) = 398 / 398
GCD(1, 398) = 1
GCD of 306, 996, 523, 398 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 306, 996, 523, 398?
GCD of 306, 996, 523, 398 is 1
2. Where do I get the detailed procedure to find GCD of 306, 996, 523, 398?
You can find a detailed procedure to find GCD of 306, 996, 523, 398 on our page.
3. How to find GCD of 306, 996, 523, 398 on a calculator?
You can find the GCD of 306, 996, 523, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.