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, 651, 14, 325 i.e. 1 largest integer that divides all the numbers equally.
GCD of 399, 651, 14, 325 is 1
GCD(399, 651, 14, 325) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 399, 651, 14, 325 is 1
GCD(399, 651, 14, 325) = 1
Given Input numbers are 399, 651, 14, 325
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 651
List of positive integer divisors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Greatest Common Divisior
We found the divisors of 399, 651, 14, 325 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 651, 14, 325 is 1.
Therefore, GCD of numbers 399, 651, 14, 325 is 1
Given Input Data is 399, 651, 14, 325
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 651 is 3 x 7 x 31
Prime Factorization of 14 is 2 x 7
Prime Factorization of 325 is 5 x 5 x 13
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, 651) = 12369
GCD(399, 651) = ( 399 x 651 ) / 12369
GCD(399, 651) = 259749 / 12369
GCD(399, 651) = 21
Step2:
Here we consider the GCD from the above i.e. 21 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(21, 14) = 42
GCD(21, 14) = ( 21 x 14 ) / 42
GCD(21, 14) = 294 / 42
GCD(21, 14) = 7
Step3:
Here we consider the GCD from the above i.e. 7 as first number and the next as 325
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 325) = 2275
GCD(7, 325) = ( 7 x 325 ) / 2275
GCD(7, 325) = 2275 / 2275
GCD(7, 325) = 1
GCD of 399, 651, 14, 325 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 399, 651, 14, 325?
GCD of 399, 651, 14, 325 is 1
2. Where do I get the detailed procedure to find GCD of 399, 651, 14, 325?
You can find a detailed procedure to find GCD of 399, 651, 14, 325 on our page.
3. How to find GCD of 399, 651, 14, 325 on a calculator?
You can find the GCD of 399, 651, 14, 325 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.