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 275, 579, 500 i.e. 1 largest integer that divides all the numbers equally.
GCD of 275, 579, 500 is 1
GCD(275, 579, 500) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 275, 579, 500 is 1
GCD(275, 579, 500) = 1
Given Input numbers are 275, 579, 500
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Divisors of 579
List of positive integer divisors of 579 that divides 579 without a remainder.
1, 3, 193, 579
Divisors of 500
List of positive integer divisors of 500 that divides 500 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Greatest Common Divisior
We found the divisors of 275, 579, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 275, 579, 500 is 1.
Therefore, GCD of numbers 275, 579, 500 is 1
Given Input Data is 275, 579, 500
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 275 is 5 x 5 x 11
Prime Factorization of 579 is 3 x 193
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
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(275, 579) = 159225
GCD(275, 579) = ( 275 x 579 ) / 159225
GCD(275, 579) = 159225 / 159225
GCD(275, 579) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 500
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 500) = 500
GCD(1, 500) = ( 1 x 500 ) / 500
GCD(1, 500) = 500 / 500
GCD(1, 500) = 1
GCD of 275, 579, 500 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 275, 579, 500?
GCD of 275, 579, 500 is 1
2. Where do I get the detailed procedure to find GCD of 275, 579, 500?
You can find a detailed procedure to find GCD of 275, 579, 500 on our page.
3. How to find GCD of 275, 579, 500 on a calculator?
You can find the GCD of 275, 579, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.