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 14, 926, 469, 399 i.e. 1 largest integer that divides all the numbers equally.
GCD of 14, 926, 469, 399 is 1
GCD(14, 926, 469, 399) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 14, 926, 469, 399 is 1
GCD(14, 926, 469, 399) = 1
Given Input numbers are 14, 926, 469, 399
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 926
List of positive integer divisors of 926 that divides 926 without a remainder.
1, 2, 463, 926
Divisors of 469
List of positive integer divisors of 469 that divides 469 without a remainder.
1, 7, 67, 469
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Greatest Common Divisior
We found the divisors of 14, 926, 469, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 926, 469, 399 is 1.
Therefore, GCD of numbers 14, 926, 469, 399 is 1
Given Input Data is 14, 926, 469, 399
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 14 is 2 x 7
Prime Factorization of 926 is 2 x 463
Prime Factorization of 469 is 7 x 67
Prime Factorization of 399 is 3 x 7 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(14, 926) = 6482
GCD(14, 926) = ( 14 x 926 ) / 6482
GCD(14, 926) = 12964 / 6482
GCD(14, 926) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 469
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 469) = 938
GCD(2, 469) = ( 2 x 469 ) / 938
GCD(2, 469) = 938 / 938
GCD(2, 469) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 399
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 399) = 399
GCD(1, 399) = ( 1 x 399 ) / 399
GCD(1, 399) = 399 / 399
GCD(1, 399) = 1
GCD of 14, 926, 469, 399 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 14, 926, 469, 399?
GCD of 14, 926, 469, 399 is 1
2. Where do I get the detailed procedure to find GCD of 14, 926, 469, 399?
You can find a detailed procedure to find GCD of 14, 926, 469, 399 on our page.
3. How to find GCD of 14, 926, 469, 399 on a calculator?
You can find the GCD of 14, 926, 469, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.