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, 507, 739 i.e. 1 largest integer that divides all the numbers equally.
GCD of 792, 507, 739 is 1
GCD(792, 507, 739) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 792, 507, 739 is 1
GCD(792, 507, 739) = 1
Given Input numbers are 792, 507, 739
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 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Divisors of 739
List of positive integer divisors of 739 that divides 739 without a remainder.
1, 739
Greatest Common Divisior
We found the divisors of 792, 507, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 507, 739 is 1.
Therefore, GCD of numbers 792, 507, 739 is 1
Given Input Data is 792, 507, 739
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 507 is 3 x 13 x 13
Prime Factorization of 739 is 739
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, 507) = 133848
GCD(792, 507) = ( 792 x 507 ) / 133848
GCD(792, 507) = 401544 / 133848
GCD(792, 507) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 739
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 739) = 2217
GCD(3, 739) = ( 3 x 739 ) / 2217
GCD(3, 739) = 2217 / 2217
GCD(3, 739) = 1
GCD of 792, 507, 739 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 792, 507, 739?
GCD of 792, 507, 739 is 1
2. Where do I get the detailed procedure to find GCD of 792, 507, 739?
You can find a detailed procedure to find GCD of 792, 507, 739 on our page.
3. How to find GCD of 792, 507, 739 on a calculator?
You can find the GCD of 792, 507, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.