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 765, 320, 995 i.e. 5 largest integer that divides all the numbers equally.
GCD of 765, 320, 995 is 5
GCD(765, 320, 995) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 765, 320, 995 is 5
GCD(765, 320, 995) = 5
Given Input numbers are 765, 320, 995
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 995
List of positive integer divisors of 995 that divides 995 without a remainder.
1, 5, 199, 995
Greatest Common Divisior
We found the divisors of 765, 320, 995 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 320, 995 is 5.
Therefore, GCD of numbers 765, 320, 995 is 5
Given Input Data is 765, 320, 995
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 765 is 3 x 3 x 5 x 17
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 995 is 5 x 199
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
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(765, 320) = 48960
GCD(765, 320) = ( 765 x 320 ) / 48960
GCD(765, 320) = 244800 / 48960
GCD(765, 320) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 995
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 995) = 995
GCD(5, 995) = ( 5 x 995 ) / 995
GCD(5, 995) = 4975 / 995
GCD(5, 995) = 5
GCD of 765, 320, 995 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 765, 320, 995?
GCD of 765, 320, 995 is 5
2. Where do I get the detailed procedure to find GCD of 765, 320, 995?
You can find a detailed procedure to find GCD of 765, 320, 995 on our page.
3. How to find GCD of 765, 320, 995 on a calculator?
You can find the GCD of 765, 320, 995 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.