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, 140, 178, 493 i.e. 1 largest integer that divides all the numbers equally.
GCD of 809, 140, 178, 493 is 1
GCD(809, 140, 178, 493) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 809, 140, 178, 493 is 1
GCD(809, 140, 178, 493) = 1
Given Input numbers are 809, 140, 178, 493
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 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Divisors of 493
List of positive integer divisors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Greatest Common Divisior
We found the divisors of 809, 140, 178, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 140, 178, 493 is 1.
Therefore, GCD of numbers 809, 140, 178, 493 is 1
Given Input Data is 809, 140, 178, 493
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 809 is 809
Prime Factorization of 140 is 2 x 2 x 5 x 7
Prime Factorization of 178 is 2 x 89
Prime Factorization of 493 is 17 x 29
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, 140) = 113260
GCD(809, 140) = ( 809 x 140 ) / 113260
GCD(809, 140) = 113260 / 113260
GCD(809, 140) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 178
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 178) = 178
GCD(1, 178) = ( 1 x 178 ) / 178
GCD(1, 178) = 178 / 178
GCD(1, 178) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 493
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 493) = 493
GCD(1, 493) = ( 1 x 493 ) / 493
GCD(1, 493) = 493 / 493
GCD(1, 493) = 1
GCD of 809, 140, 178, 493 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 809, 140, 178, 493?
GCD of 809, 140, 178, 493 is 1
2. Where do I get the detailed procedure to find GCD of 809, 140, 178, 493?
You can find a detailed procedure to find GCD of 809, 140, 178, 493 on our page.
3. How to find GCD of 809, 140, 178, 493 on a calculator?
You can find the GCD of 809, 140, 178, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.