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 795, 173, 77, 116 i.e. 1 largest integer that divides all the numbers equally.
GCD of 795, 173, 77, 116 is 1
GCD(795, 173, 77, 116) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 795, 173, 77, 116 is 1
GCD(795, 173, 77, 116) = 1
Given Input numbers are 795, 173, 77, 116
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 795
List of positive integer divisors of 795 that divides 795 without a remainder.
1, 3, 5, 15, 53, 159, 265, 795
Divisors of 173
List of positive integer divisors of 173 that divides 173 without a remainder.
1, 173
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Greatest Common Divisior
We found the divisors of 795, 173, 77, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 795, 173, 77, 116 is 1.
Therefore, GCD of numbers 795, 173, 77, 116 is 1
Given Input Data is 795, 173, 77, 116
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 795 is 3 x 5 x 53
Prime Factorization of 173 is 173
Prime Factorization of 77 is 7 x 11
Prime Factorization of 116 is 2 x 2 x 29
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(795, 173) = 137535
GCD(795, 173) = ( 795 x 173 ) / 137535
GCD(795, 173) = 137535 / 137535
GCD(795, 173) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 77) = 77
GCD(1, 77) = ( 1 x 77 ) / 77
GCD(1, 77) = 77 / 77
GCD(1, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 116
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 116) = 116
GCD(1, 116) = ( 1 x 116 ) / 116
GCD(1, 116) = 116 / 116
GCD(1, 116) = 1
GCD of 795, 173, 77, 116 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 795, 173, 77, 116?
GCD of 795, 173, 77, 116 is 1
2. Where do I get the detailed procedure to find GCD of 795, 173, 77, 116?
You can find a detailed procedure to find GCD of 795, 173, 77, 116 on our page.
3. How to find GCD of 795, 173, 77, 116 on a calculator?
You can find the GCD of 795, 173, 77, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.