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 792, 590, 75, 797 i.e. 1 largest integer that divides all the numbers equally.
GCD of 792, 590, 75, 797 is 1
GCD(792, 590, 75, 797) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 792, 590, 75, 797 is 1
GCD(792, 590, 75, 797) = 1
Given Input numbers are 792, 590, 75, 797
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 792
List of positive integer divisors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 590
List of positive integer divisors of 590 that divides 590 without a remainder.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
Greatest Common Divisior
We found the divisors of 792, 590, 75, 797 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 590, 75, 797 is 1.
Therefore, GCD of numbers 792, 590, 75, 797 is 1
Given Input Data is 792, 590, 75, 797
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
Prime Factorization of 590 is 2 x 5 x 59
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 797 is 797
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(792, 590) = 233640
GCD(792, 590) = ( 792 x 590 ) / 233640
GCD(792, 590) = 467280 / 233640
GCD(792, 590) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 75) = 150
GCD(2, 75) = ( 2 x 75 ) / 150
GCD(2, 75) = 150 / 150
GCD(2, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 797
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 797) = 797
GCD(1, 797) = ( 1 x 797 ) / 797
GCD(1, 797) = 797 / 797
GCD(1, 797) = 1
GCD of 792, 590, 75, 797 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 792, 590, 75, 797?
GCD of 792, 590, 75, 797 is 1
2. Where do I get the detailed procedure to find GCD of 792, 590, 75, 797?
You can find a detailed procedure to find GCD of 792, 590, 75, 797 on our page.
3. How to find GCD of 792, 590, 75, 797 on a calculator?
You can find the GCD of 792, 590, 75, 797 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.