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 715, 816, 39, 321 i.e. 1 largest integer that divides all the numbers equally.
GCD of 715, 816, 39, 321 is 1
GCD(715, 816, 39, 321) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 715, 816, 39, 321 is 1
GCD(715, 816, 39, 321) = 1
Given Input numbers are 715, 816, 39, 321
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 816
List of positive integer divisors of 816 that divides 816 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Greatest Common Divisior
We found the divisors of 715, 816, 39, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 715, 816, 39, 321 is 1.
Therefore, GCD of numbers 715, 816, 39, 321 is 1
Given Input Data is 715, 816, 39, 321
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 715 is 5 x 11 x 13
Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17
Prime Factorization of 39 is 3 x 13
Prime Factorization of 321 is 3 x 107
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(715, 816) = 583440
GCD(715, 816) = ( 715 x 816 ) / 583440
GCD(715, 816) = 583440 / 583440
GCD(715, 816) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 39) = 39
GCD(1, 39) = ( 1 x 39 ) / 39
GCD(1, 39) = 39 / 39
GCD(1, 39) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 321
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 321) = 321
GCD(1, 321) = ( 1 x 321 ) / 321
GCD(1, 321) = 321 / 321
GCD(1, 321) = 1
GCD of 715, 816, 39, 321 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 715, 816, 39, 321?
GCD of 715, 816, 39, 321 is 1
2. Where do I get the detailed procedure to find GCD of 715, 816, 39, 321?
You can find a detailed procedure to find GCD of 715, 816, 39, 321 on our page.
3. How to find GCD of 715, 816, 39, 321 on a calculator?
You can find the GCD of 715, 816, 39, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.