GCD of 320, 499, 75 Calculator
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, 499, 75 i.e. 1 largest integer that divides all the numbers equally.
GCD of 320, 499, 75 is 1
GCD(320, 499, 75) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 320, 499, 75 is 1
GCD(320, 499, 75) = 1
GCDof 320,499,75 is 1
Given Input numbers are 320, 499, 75
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 499
List of positive integer divisors of 499 that divides 499 without a remainder.
1, 499
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Greatest Common Divisior
We found the divisors of 320, 499, 75 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 499, 75 is 1.
Therefore, GCD of numbers 320, 499, 75 is 1
Given Input Data is 320, 499, 75
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 499 is 499
Prime Factorization of 75 is 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 320, 499, 75 using LCM Formula
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, 499) = 159680
GCD(320, 499) = ( 320 x 499 ) / 159680
GCD(320, 499) = 159680 / 159680
GCD(320, 499) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 75) = 75
GCD(1, 75) = ( 1 x 75 ) / 75
GCD(1, 75) = 75 / 75
GCD(1, 75) = 1
GCD of 320, 499, 75 is 1
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FAQs on GCD of numbers 320, 499, 75
1. What is the GCD of 320, 499, 75?
GCD of 320, 499, 75 is 1
2. Where do I get the detailed procedure to find GCD of 320, 499, 75?
You can find a detailed procedure to find GCD of 320, 499, 75 on our page.
3. How to find GCD of 320, 499, 75 on a calculator?
You can find the GCD of 320, 499, 75 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
