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 809, 359, 987, 704 i.e. 1 largest integer that divides all the numbers equally.
GCD of 809, 359, 987, 704 is 1
GCD(809, 359, 987, 704) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 809, 359, 987, 704 is 1
GCD(809, 359, 987, 704) = 1
Given Input numbers are 809, 359, 987, 704
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 809
List of positive integer divisors of 809 that divides 809 without a remainder.
1, 809
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Greatest Common Divisior
We found the divisors of 809, 359, 987, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 359, 987, 704 is 1.
Therefore, GCD of numbers 809, 359, 987, 704 is 1
Given Input Data is 809, 359, 987, 704
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 809 is 809
Prime Factorization of 359 is 359
Prime Factorization of 987 is 3 x 7 x 47
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
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(809, 359) = 290431
GCD(809, 359) = ( 809 x 359 ) / 290431
GCD(809, 359) = 290431 / 290431
GCD(809, 359) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 987
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 987) = 987
GCD(1, 987) = ( 1 x 987 ) / 987
GCD(1, 987) = 987 / 987
GCD(1, 987) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 704
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 704) = 704
GCD(1, 704) = ( 1 x 704 ) / 704
GCD(1, 704) = 704 / 704
GCD(1, 704) = 1
GCD of 809, 359, 987, 704 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 809, 359, 987, 704?
GCD of 809, 359, 987, 704 is 1
2. Where do I get the detailed procedure to find GCD of 809, 359, 987, 704?
You can find a detailed procedure to find GCD of 809, 359, 987, 704 on our page.
3. How to find GCD of 809, 359, 987, 704 on a calculator?
You can find the GCD of 809, 359, 987, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.