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 320, 800, 617 i.e. 1 largest integer that divides all the numbers equally.
GCD of 320, 800, 617 is 1
GCD(320, 800, 617) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 320, 800, 617 is 1
GCD(320, 800, 617) = 1
Given Input numbers are 320, 800, 617
To find the GCD of numbers using factoring list out all the divisors of each number
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 800
List of positive integer divisors of 800 that divides 800 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 617
List of positive integer divisors of 617 that divides 617 without a remainder.
1, 617
Greatest Common Divisior
We found the divisors of 320, 800, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 800, 617 is 1.
Therefore, GCD of numbers 320, 800, 617 is 1
Given Input Data is 320, 800, 617
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 617 is 617
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(320, 800) = 1600
GCD(320, 800) = ( 320 x 800 ) / 1600
GCD(320, 800) = 256000 / 1600
GCD(320, 800) = 160
Step2:
Here we consider the GCD from the above i.e. 160 as first number and the next as 617
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(160, 617) = 98720
GCD(160, 617) = ( 160 x 617 ) / 98720
GCD(160, 617) = 98720 / 98720
GCD(160, 617) = 1
GCD of 320, 800, 617 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 320, 800, 617?
GCD of 320, 800, 617 is 1
2. Where do I get the detailed procedure to find GCD of 320, 800, 617?
You can find a detailed procedure to find GCD of 320, 800, 617 on our page.
3. How to find GCD of 320, 800, 617 on a calculator?
You can find the GCD of 320, 800, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.