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 978, 809, 162, 303 i.e. 1 largest integer that divides all the numbers equally.
GCD of 978, 809, 162, 303 is 1
GCD(978, 809, 162, 303) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 978, 809, 162, 303 is 1
GCD(978, 809, 162, 303) = 1
Given Input numbers are 978, 809, 162, 303
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 978
List of positive integer divisors of 978 that divides 978 without a remainder.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 809
List of positive integer divisors of 809 that divides 809 without a remainder.
1, 809
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 303
List of positive integer divisors of 303 that divides 303 without a remainder.
1, 3, 101, 303
Greatest Common Divisior
We found the divisors of 978, 809, 162, 303 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 809, 162, 303 is 1.
Therefore, GCD of numbers 978, 809, 162, 303 is 1
Given Input Data is 978, 809, 162, 303
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 978 is 2 x 3 x 163
Prime Factorization of 809 is 809
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
Prime Factorization of 303 is 3 x 101
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(978, 809) = 791202
GCD(978, 809) = ( 978 x 809 ) / 791202
GCD(978, 809) = 791202 / 791202
GCD(978, 809) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 162
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 162) = 162
GCD(1, 162) = ( 1 x 162 ) / 162
GCD(1, 162) = 162 / 162
GCD(1, 162) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 303
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 303) = 303
GCD(1, 303) = ( 1 x 303 ) / 303
GCD(1, 303) = 303 / 303
GCD(1, 303) = 1
GCD of 978, 809, 162, 303 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 978, 809, 162, 303?
GCD of 978, 809, 162, 303 is 1
2. Where do I get the detailed procedure to find GCD of 978, 809, 162, 303?
You can find a detailed procedure to find GCD of 978, 809, 162, 303 on our page.
3. How to find GCD of 978, 809, 162, 303 on a calculator?
You can find the GCD of 978, 809, 162, 303 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.