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, 726, 40, 588 i.e. 1 largest integer that divides all the numbers equally.
GCD of 793, 726, 40, 588 is 1
GCD(793, 726, 40, 588) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 793, 726, 40, 588 is 1
GCD(793, 726, 40, 588) = 1
Given Input numbers are 793, 726, 40, 588
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 726
List of positive integer divisors of 726 that divides 726 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
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 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Greatest Common Divisior
We found the divisors of 793, 726, 40, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 793, 726, 40, 588 is 1.
Therefore, GCD of numbers 793, 726, 40, 588 is 1
Given Input Data is 793, 726, 40, 588
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 793 is 13 x 61
Prime Factorization of 726 is 2 x 3 x 11 x 11
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
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, 726) = 575718
GCD(793, 726) = ( 793 x 726 ) / 575718
GCD(793, 726) = 575718 / 575718
GCD(793, 726) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 40) = 40
GCD(1, 40) = ( 1 x 40 ) / 40
GCD(1, 40) = 40 / 40
GCD(1, 40) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 588
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 588) = 588
GCD(1, 588) = ( 1 x 588 ) / 588
GCD(1, 588) = 588 / 588
GCD(1, 588) = 1
GCD of 793, 726, 40, 588 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 793, 726, 40, 588?
GCD of 793, 726, 40, 588 is 1
2. Where do I get the detailed procedure to find GCD of 793, 726, 40, 588?
You can find a detailed procedure to find GCD of 793, 726, 40, 588 on our page.
3. How to find GCD of 793, 726, 40, 588 on a calculator?
You can find the GCD of 793, 726, 40, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.