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, 328, 705, 155 i.e. 1 largest integer that divides all the numbers equally.
GCD of 795, 328, 705, 155 is 1
GCD(795, 328, 705, 155) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 795, 328, 705, 155 is 1
GCD(795, 328, 705, 155) = 1
Given Input numbers are 795, 328, 705, 155
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 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Greatest Common Divisior
We found the divisors of 795, 328, 705, 155 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 795, 328, 705, 155 is 1.
Therefore, GCD of numbers 795, 328, 705, 155 is 1
Given Input Data is 795, 328, 705, 155
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 328 is 2 x 2 x 2 x 41
Prime Factorization of 705 is 3 x 5 x 47
Prime Factorization of 155 is 5 x 31
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, 328) = 260760
GCD(795, 328) = ( 795 x 328 ) / 260760
GCD(795, 328) = 260760 / 260760
GCD(795, 328) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 705
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 705) = 705
GCD(1, 705) = ( 1 x 705 ) / 705
GCD(1, 705) = 705 / 705
GCD(1, 705) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 155
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 155) = 155
GCD(1, 155) = ( 1 x 155 ) / 155
GCD(1, 155) = 155 / 155
GCD(1, 155) = 1
GCD of 795, 328, 705, 155 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 795, 328, 705, 155?
GCD of 795, 328, 705, 155 is 1
2. Where do I get the detailed procedure to find GCD of 795, 328, 705, 155?
You can find a detailed procedure to find GCD of 795, 328, 705, 155 on our page.
3. How to find GCD of 795, 328, 705, 155 on a calculator?
You can find the GCD of 795, 328, 705, 155 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.