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, 573, 171, 502 i.e. 1 largest integer that divides all the numbers equally.
GCD of 792, 573, 171, 502 is 1
GCD(792, 573, 171, 502) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 792, 573, 171, 502 is 1
GCD(792, 573, 171, 502) = 1
Given Input numbers are 792, 573, 171, 502
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 573
List of positive integer divisors of 573 that divides 573 without a remainder.
1, 3, 191, 573
Divisors of 171
List of positive integer divisors of 171 that divides 171 without a remainder.
1, 3, 9, 19, 57, 171
Divisors of 502
List of positive integer divisors of 502 that divides 502 without a remainder.
1, 2, 251, 502
Greatest Common Divisior
We found the divisors of 792, 573, 171, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 573, 171, 502 is 1.
Therefore, GCD of numbers 792, 573, 171, 502 is 1
Given Input Data is 792, 573, 171, 502
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 573 is 3 x 191
Prime Factorization of 171 is 3 x 3 x 19
Prime Factorization of 502 is 2 x 251
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, 573) = 151272
GCD(792, 573) = ( 792 x 573 ) / 151272
GCD(792, 573) = 453816 / 151272
GCD(792, 573) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 171
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 171) = 171
GCD(3, 171) = ( 3 x 171 ) / 171
GCD(3, 171) = 513 / 171
GCD(3, 171) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 502
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 502) = 1506
GCD(3, 502) = ( 3 x 502 ) / 1506
GCD(3, 502) = 1506 / 1506
GCD(3, 502) = 1
GCD of 792, 573, 171, 502 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 792, 573, 171, 502?
GCD of 792, 573, 171, 502 is 1
2. Where do I get the detailed procedure to find GCD of 792, 573, 171, 502?
You can find a detailed procedure to find GCD of 792, 573, 171, 502 on our page.
3. How to find GCD of 792, 573, 171, 502 on a calculator?
You can find the GCD of 792, 573, 171, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.