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, 538, 73, 851 i.e. 1 largest integer that divides all the numbers equally.
GCD of 792, 538, 73, 851 is 1
GCD(792, 538, 73, 851) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 792, 538, 73, 851 is 1
GCD(792, 538, 73, 851) = 1
Given Input numbers are 792, 538, 73, 851
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 538
List of positive integer divisors of 538 that divides 538 without a remainder.
1, 2, 269, 538
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 851
List of positive integer divisors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Greatest Common Divisior
We found the divisors of 792, 538, 73, 851 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 538, 73, 851 is 1.
Therefore, GCD of numbers 792, 538, 73, 851 is 1
Given Input Data is 792, 538, 73, 851
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 538 is 2 x 269
Prime Factorization of 73 is 73
Prime Factorization of 851 is 23 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(792, 538) = 213048
GCD(792, 538) = ( 792 x 538 ) / 213048
GCD(792, 538) = 426096 / 213048
GCD(792, 538) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 73) = 146
GCD(2, 73) = ( 2 x 73 ) / 146
GCD(2, 73) = 146 / 146
GCD(2, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 851
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 851) = 851
GCD(1, 851) = ( 1 x 851 ) / 851
GCD(1, 851) = 851 / 851
GCD(1, 851) = 1
GCD of 792, 538, 73, 851 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 792, 538, 73, 851?
GCD of 792, 538, 73, 851 is 1
2. Where do I get the detailed procedure to find GCD of 792, 538, 73, 851?
You can find a detailed procedure to find GCD of 792, 538, 73, 851 on our page.
3. How to find GCD of 792, 538, 73, 851 on a calculator?
You can find the GCD of 792, 538, 73, 851 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.