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, 567, 19, 956 i.e. 1 largest integer that divides all the numbers equally.
GCD of 399, 567, 19, 956 is 1
GCD(399, 567, 19, 956) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 399, 567, 19, 956 is 1
GCD(399, 567, 19, 956) = 1
Given Input numbers are 399, 567, 19, 956
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 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 956
List of positive integer divisors of 956 that divides 956 without a remainder.
1, 2, 4, 239, 478, 956
Greatest Common Divisior
We found the divisors of 399, 567, 19, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 567, 19, 956 is 1.
Therefore, GCD of numbers 399, 567, 19, 956 is 1
Given Input Data is 399, 567, 19, 956
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 567 is 3 x 3 x 3 x 3 x 7
Prime Factorization of 19 is 19
Prime Factorization of 956 is 2 x 2 x 239
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, 567) = 10773
GCD(399, 567) = ( 399 x 567 ) / 10773
GCD(399, 567) = 226233 / 10773
GCD(399, 567) = 21
Step2:
Here we consider the GCD from the above i.e. 21 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(21, 19) = 399
GCD(21, 19) = ( 21 x 19 ) / 399
GCD(21, 19) = 399 / 399
GCD(21, 19) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 956
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 956) = 956
GCD(1, 956) = ( 1 x 956 ) / 956
GCD(1, 956) = 956 / 956
GCD(1, 956) = 1
GCD of 399, 567, 19, 956 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 399, 567, 19, 956?
GCD of 399, 567, 19, 956 is 1
2. Where do I get the detailed procedure to find GCD of 399, 567, 19, 956?
You can find a detailed procedure to find GCD of 399, 567, 19, 956 on our page.
3. How to find GCD of 399, 567, 19, 956 on a calculator?
You can find the GCD of 399, 567, 19, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.