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 814, 715, 14, 599 i.e. 1 largest integer that divides all the numbers equally.
GCD of 814, 715, 14, 599 is 1
GCD(814, 715, 14, 599) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 814, 715, 14, 599 is 1
GCD(814, 715, 14, 599) = 1
Given Input numbers are 814, 715, 14, 599
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
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 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 599
List of positive integer divisors of 599 that divides 599 without a remainder.
1, 599
Greatest Common Divisior
We found the divisors of 814, 715, 14, 599 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 715, 14, 599 is 1.
Therefore, GCD of numbers 814, 715, 14, 599 is 1
Given Input Data is 814, 715, 14, 599
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 814 is 2 x 11 x 37
Prime Factorization of 715 is 5 x 11 x 13
Prime Factorization of 14 is 2 x 7
Prime Factorization of 599 is 599
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(814, 715) = 52910
GCD(814, 715) = ( 814 x 715 ) / 52910
GCD(814, 715) = 582010 / 52910
GCD(814, 715) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 14) = 154
GCD(11, 14) = ( 11 x 14 ) / 154
GCD(11, 14) = 154 / 154
GCD(11, 14) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 599
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 599) = 599
GCD(1, 599) = ( 1 x 599 ) / 599
GCD(1, 599) = 599 / 599
GCD(1, 599) = 1
GCD of 814, 715, 14, 599 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 814, 715, 14, 599?
GCD of 814, 715, 14, 599 is 1
2. Where do I get the detailed procedure to find GCD of 814, 715, 14, 599?
You can find a detailed procedure to find GCD of 814, 715, 14, 599 on our page.
3. How to find GCD of 814, 715, 14, 599 on a calculator?
You can find the GCD of 814, 715, 14, 599 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.