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, 597, 608 i.e. 1 largest integer that divides all the numbers equally.
GCD of 399, 597, 608 is 1
GCD(399, 597, 608) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 399, 597, 608 is 1
GCD(399, 597, 608) = 1
Given Input numbers are 399, 597, 608
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 597
List of positive integer divisors of 597 that divides 597 without a remainder.
1, 3, 199, 597
Divisors of 608
List of positive integer divisors of 608 that divides 608 without a remainder.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Greatest Common Divisior
We found the divisors of 399, 597, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 597, 608 is 1.
Therefore, GCD of numbers 399, 597, 608 is 1
Given Input Data is 399, 597, 608
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 597 is 3 x 199
Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19
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, 597) = 79401
GCD(399, 597) = ( 399 x 597 ) / 79401
GCD(399, 597) = 238203 / 79401
GCD(399, 597) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 608
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 608) = 1824
GCD(3, 608) = ( 3 x 608 ) / 1824
GCD(3, 608) = 1824 / 1824
GCD(3, 608) = 1
GCD of 399, 597, 608 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 399, 597, 608?
GCD of 399, 597, 608 is 1
2. Where do I get the detailed procedure to find GCD of 399, 597, 608?
You can find a detailed procedure to find GCD of 399, 597, 608 on our page.
3. How to find GCD of 399, 597, 608 on a calculator?
You can find the GCD of 399, 597, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.