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 40, 796, 584, 481 i.e. 1 largest integer that divides all the numbers equally.
GCD of 40, 796, 584, 481 is 1
GCD(40, 796, 584, 481) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 40, 796, 584, 481 is 1
GCD(40, 796, 584, 481) = 1
Given Input numbers are 40, 796, 584, 481
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 796
List of positive integer divisors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398, 796
Divisors of 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 481
List of positive integer divisors of 481 that divides 481 without a remainder.
1, 13, 37, 481
Greatest Common Divisior
We found the divisors of 40, 796, 584, 481 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 796, 584, 481 is 1.
Therefore, GCD of numbers 40, 796, 584, 481 is 1
Given Input Data is 40, 796, 584, 481
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 796 is 2 x 2 x 199
Prime Factorization of 584 is 2 x 2 x 2 x 73
Prime Factorization of 481 is 13 x 37
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(40, 796) = 7960
GCD(40, 796) = ( 40 x 796 ) / 7960
GCD(40, 796) = 31840 / 7960
GCD(40, 796) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 584
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 584) = 584
GCD(4, 584) = ( 4 x 584 ) / 584
GCD(4, 584) = 2336 / 584
GCD(4, 584) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 481
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 481) = 1924
GCD(4, 481) = ( 4 x 481 ) / 1924
GCD(4, 481) = 1924 / 1924
GCD(4, 481) = 1
GCD of 40, 796, 584, 481 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 40, 796, 584, 481?
GCD of 40, 796, 584, 481 is 1
2. Where do I get the detailed procedure to find GCD of 40, 796, 584, 481?
You can find a detailed procedure to find GCD of 40, 796, 584, 481 on our page.
3. How to find GCD of 40, 796, 584, 481 on a calculator?
You can find the GCD of 40, 796, 584, 481 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.