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, 156, 47, 405 i.e. 1 largest integer that divides all the numbers equally.
GCD of 792, 156, 47, 405 is 1
GCD(792, 156, 47, 405) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 792, 156, 47, 405 is 1
GCD(792, 156, 47, 405) = 1
Given Input numbers are 792, 156, 47, 405
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 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 405
List of positive integer divisors of 405 that divides 405 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Greatest Common Divisior
We found the divisors of 792, 156, 47, 405 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 156, 47, 405 is 1.
Therefore, GCD of numbers 792, 156, 47, 405 is 1
Given Input Data is 792, 156, 47, 405
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 156 is 2 x 2 x 3 x 13
Prime Factorization of 47 is 47
Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5
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, 156) = 10296
GCD(792, 156) = ( 792 x 156 ) / 10296
GCD(792, 156) = 123552 / 10296
GCD(792, 156) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 47) = 564
GCD(12, 47) = ( 12 x 47 ) / 564
GCD(12, 47) = 564 / 564
GCD(12, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 405
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 405) = 405
GCD(1, 405) = ( 1 x 405 ) / 405
GCD(1, 405) = 405 / 405
GCD(1, 405) = 1
GCD of 792, 156, 47, 405 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 792, 156, 47, 405?
GCD of 792, 156, 47, 405 is 1
2. Where do I get the detailed procedure to find GCD of 792, 156, 47, 405?
You can find a detailed procedure to find GCD of 792, 156, 47, 405 on our page.
3. How to find GCD of 792, 156, 47, 405 on a calculator?
You can find the GCD of 792, 156, 47, 405 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.