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, 703, 67, 328 i.e. 1 largest integer that divides all the numbers equally.
GCD of 399, 703, 67, 328 is 1
GCD(399, 703, 67, 328) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 399, 703, 67, 328 is 1
GCD(399, 703, 67, 328) = 1
Given Input numbers are 399, 703, 67, 328
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 703
List of positive integer divisors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Greatest Common Divisior
We found the divisors of 399, 703, 67, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 703, 67, 328 is 1.
Therefore, GCD of numbers 399, 703, 67, 328 is 1
Given Input Data is 399, 703, 67, 328
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 703 is 19 x 37
Prime Factorization of 67 is 67
Prime Factorization of 328 is 2 x 2 x 2 x 41
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, 703) = 14763
GCD(399, 703) = ( 399 x 703 ) / 14763
GCD(399, 703) = 280497 / 14763
GCD(399, 703) = 19
Step2:
Here we consider the GCD from the above i.e. 19 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(19, 67) = 1273
GCD(19, 67) = ( 19 x 67 ) / 1273
GCD(19, 67) = 1273 / 1273
GCD(19, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 328
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 328) = 328
GCD(1, 328) = ( 1 x 328 ) / 328
GCD(1, 328) = 328 / 328
GCD(1, 328) = 1
GCD of 399, 703, 67, 328 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 399, 703, 67, 328?
GCD of 399, 703, 67, 328 is 1
2. Where do I get the detailed procedure to find GCD of 399, 703, 67, 328?
You can find a detailed procedure to find GCD of 399, 703, 67, 328 on our page.
3. How to find GCD of 399, 703, 67, 328 on a calculator?
You can find the GCD of 399, 703, 67, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.