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, 717, 34, 178 i.e. 1 largest integer that divides all the numbers equally.
GCD of 792, 717, 34, 178 is 1
GCD(792, 717, 34, 178) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 792, 717, 34, 178 is 1
GCD(792, 717, 34, 178) = 1
Given Input numbers are 792, 717, 34, 178
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 717
List of positive integer divisors of 717 that divides 717 without a remainder.
1, 3, 239, 717
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Greatest Common Divisior
We found the divisors of 792, 717, 34, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 717, 34, 178 is 1.
Therefore, GCD of numbers 792, 717, 34, 178 is 1
Given Input Data is 792, 717, 34, 178
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 717 is 3 x 239
Prime Factorization of 34 is 2 x 17
Prime Factorization of 178 is 2 x 89
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, 717) = 189288
GCD(792, 717) = ( 792 x 717 ) / 189288
GCD(792, 717) = 567864 / 189288
GCD(792, 717) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 34
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 34) = 102
GCD(3, 34) = ( 3 x 34 ) / 102
GCD(3, 34) = 102 / 102
GCD(3, 34) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 178
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 178) = 178
GCD(1, 178) = ( 1 x 178 ) / 178
GCD(1, 178) = 178 / 178
GCD(1, 178) = 1
GCD of 792, 717, 34, 178 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 792, 717, 34, 178?
GCD of 792, 717, 34, 178 is 1
2. Where do I get the detailed procedure to find GCD of 792, 717, 34, 178?
You can find a detailed procedure to find GCD of 792, 717, 34, 178 on our page.
3. How to find GCD of 792, 717, 34, 178 on a calculator?
You can find the GCD of 792, 717, 34, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.