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 793, 904, 72, 220 i.e. 1 largest integer that divides all the numbers equally.
GCD of 793, 904, 72, 220 is 1
GCD(793, 904, 72, 220) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 793, 904, 72, 220 is 1
GCD(793, 904, 72, 220) = 1
Given Input numbers are 793, 904, 72, 220
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 793
List of positive integer divisors of 793 that divides 793 without a remainder.
1, 13, 61, 793
Divisors of 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Greatest Common Divisior
We found the divisors of 793, 904, 72, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 793, 904, 72, 220 is 1.
Therefore, GCD of numbers 793, 904, 72, 220 is 1
Given Input Data is 793, 904, 72, 220
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 793 is 13 x 61
Prime Factorization of 904 is 2 x 2 x 2 x 113
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 220 is 2 x 2 x 5 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(793, 904) = 716872
GCD(793, 904) = ( 793 x 904 ) / 716872
GCD(793, 904) = 716872 / 716872
GCD(793, 904) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 220
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 220) = 220
GCD(1, 220) = ( 1 x 220 ) / 220
GCD(1, 220) = 220 / 220
GCD(1, 220) = 1
GCD of 793, 904, 72, 220 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 793, 904, 72, 220?
GCD of 793, 904, 72, 220 is 1
2. Where do I get the detailed procedure to find GCD of 793, 904, 72, 220?
You can find a detailed procedure to find GCD of 793, 904, 72, 220 on our page.
3. How to find GCD of 793, 904, 72, 220 on a calculator?
You can find the GCD of 793, 904, 72, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.