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 80, 793, 916, 800 i.e. 1 largest integer that divides all the numbers equally.
GCD of 80, 793, 916, 800 is 1
GCD(80, 793, 916, 800) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 80, 793, 916, 800 is 1
GCD(80, 793, 916, 800) = 1
Given Input numbers are 80, 793, 916, 800
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 793
List of positive integer divisors of 793 that divides 793 without a remainder.
1, 13, 61, 793
Divisors of 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Divisors of 800
List of positive integer divisors of 800 that divides 800 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Greatest Common Divisior
We found the divisors of 80, 793, 916, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 793, 916, 800 is 1.
Therefore, GCD of numbers 80, 793, 916, 800 is 1
Given Input Data is 80, 793, 916, 800
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 793 is 13 x 61
Prime Factorization of 916 is 2 x 2 x 229
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
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(80, 793) = 63440
GCD(80, 793) = ( 80 x 793 ) / 63440
GCD(80, 793) = 63440 / 63440
GCD(80, 793) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 916
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 916) = 916
GCD(1, 916) = ( 1 x 916 ) / 916
GCD(1, 916) = 916 / 916
GCD(1, 916) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 800
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 800) = 800
GCD(1, 800) = ( 1 x 800 ) / 800
GCD(1, 800) = 800 / 800
GCD(1, 800) = 1
GCD of 80, 793, 916, 800 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 80, 793, 916, 800?
GCD of 80, 793, 916, 800 is 1
2. Where do I get the detailed procedure to find GCD of 80, 793, 916, 800?
You can find a detailed procedure to find GCD of 80, 793, 916, 800 on our page.
3. How to find GCD of 80, 793, 916, 800 on a calculator?
You can find the GCD of 80, 793, 916, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.