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 314, 396, 87, 809 i.e. 1 largest integer that divides all the numbers equally.
GCD of 314, 396, 87, 809 is 1
GCD(314, 396, 87, 809) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 314, 396, 87, 809 is 1
GCD(314, 396, 87, 809) = 1
Given Input numbers are 314, 396, 87, 809
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 314
List of positive integer divisors of 314 that divides 314 without a remainder.
1, 2, 157, 314
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 809
List of positive integer divisors of 809 that divides 809 without a remainder.
1, 809
Greatest Common Divisior
We found the divisors of 314, 396, 87, 809 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 396, 87, 809 is 1.
Therefore, GCD of numbers 314, 396, 87, 809 is 1
Given Input Data is 314, 396, 87, 809
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 314 is 2 x 157
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 87 is 3 x 29
Prime Factorization of 809 is 809
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(314, 396) = 62172
GCD(314, 396) = ( 314 x 396 ) / 62172
GCD(314, 396) = 124344 / 62172
GCD(314, 396) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 87) = 174
GCD(2, 87) = ( 2 x 87 ) / 174
GCD(2, 87) = 174 / 174
GCD(2, 87) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 809
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 809) = 809
GCD(1, 809) = ( 1 x 809 ) / 809
GCD(1, 809) = 809 / 809
GCD(1, 809) = 1
GCD of 314, 396, 87, 809 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 314, 396, 87, 809?
GCD of 314, 396, 87, 809 is 1
2. Where do I get the detailed procedure to find GCD of 314, 396, 87, 809?
You can find a detailed procedure to find GCD of 314, 396, 87, 809 on our page.
3. How to find GCD of 314, 396, 87, 809 on a calculator?
You can find the GCD of 314, 396, 87, 809 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.