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 711, 399, 15, 824 i.e. 1 largest integer that divides all the numbers equally.
GCD of 711, 399, 15, 824 is 1
GCD(711, 399, 15, 824) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 711, 399, 15, 824 is 1
GCD(711, 399, 15, 824) = 1
Given Input numbers are 711, 399, 15, 824
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
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 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Greatest Common Divisior
We found the divisors of 711, 399, 15, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 711, 399, 15, 824 is 1.
Therefore, GCD of numbers 711, 399, 15, 824 is 1
Given Input Data is 711, 399, 15, 824
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 711 is 3 x 3 x 79
Prime Factorization of 399 is 3 x 7 x 19
Prime Factorization of 15 is 3 x 5
Prime Factorization of 824 is 2 x 2 x 2 x 103
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(711, 399) = 94563
GCD(711, 399) = ( 711 x 399 ) / 94563
GCD(711, 399) = 283689 / 94563
GCD(711, 399) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 15) = 15
GCD(3, 15) = ( 3 x 15 ) / 15
GCD(3, 15) = 45 / 15
GCD(3, 15) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 824
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 824) = 2472
GCD(3, 824) = ( 3 x 824 ) / 2472
GCD(3, 824) = 2472 / 2472
GCD(3, 824) = 1
GCD of 711, 399, 15, 824 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 711, 399, 15, 824?
GCD of 711, 399, 15, 824 is 1
2. Where do I get the detailed procedure to find GCD of 711, 399, 15, 824?
You can find a detailed procedure to find GCD of 711, 399, 15, 824 on our page.
3. How to find GCD of 711, 399, 15, 824 on a calculator?
You can find the GCD of 711, 399, 15, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.