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 399, 817, 48, 486 i.e. 1 largest integer that divides all the numbers equally.
GCD of 399, 817, 48, 486 is 1
GCD(399, 817, 48, 486) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 399, 817, 48, 486 is 1
GCD(399, 817, 48, 486) = 1
Given Input numbers are 399, 817, 48, 486
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 817
List of positive integer divisors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 486
List of positive integer divisors of 486 that divides 486 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Greatest Common Divisior
We found the divisors of 399, 817, 48, 486 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 817, 48, 486 is 1.
Therefore, GCD of numbers 399, 817, 48, 486 is 1
Given Input Data is 399, 817, 48, 486
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 399 is 3 x 7 x 19
Prime Factorization of 817 is 19 x 43
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 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(399, 817) = 17157
GCD(399, 817) = ( 399 x 817 ) / 17157
GCD(399, 817) = 325983 / 17157
GCD(399, 817) = 19
Step2:
Here we consider the GCD from the above i.e. 19 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(19, 48) = 912
GCD(19, 48) = ( 19 x 48 ) / 912
GCD(19, 48) = 912 / 912
GCD(19, 48) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 486
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 486) = 486
GCD(1, 486) = ( 1 x 486 ) / 486
GCD(1, 486) = 486 / 486
GCD(1, 486) = 1
GCD of 399, 817, 48, 486 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 399, 817, 48, 486?
GCD of 399, 817, 48, 486 is 1
2. Where do I get the detailed procedure to find GCD of 399, 817, 48, 486?
You can find a detailed procedure to find GCD of 399, 817, 48, 486 on our page.
3. How to find GCD of 399, 817, 48, 486 on a calculator?
You can find the GCD of 399, 817, 48, 486 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.