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 600, 481, 653, 259 i.e. 1 largest integer that divides all the numbers equally.
GCD of 600, 481, 653, 259 is 1
GCD(600, 481, 653, 259) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 600, 481, 653, 259 is 1
GCD(600, 481, 653, 259) = 1
Given Input numbers are 600, 481, 653, 259
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 481
List of positive integer divisors of 481 that divides 481 without a remainder.
1, 13, 37, 481
Divisors of 653
List of positive integer divisors of 653 that divides 653 without a remainder.
1, 653
Divisors of 259
List of positive integer divisors of 259 that divides 259 without a remainder.
1, 7, 37, 259
Greatest Common Divisior
We found the divisors of 600, 481, 653, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 481, 653, 259 is 1.
Therefore, GCD of numbers 600, 481, 653, 259 is 1
Given Input Data is 600, 481, 653, 259
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 481 is 13 x 37
Prime Factorization of 653 is 653
Prime Factorization of 259 is 7 x 37
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(600, 481) = 288600
GCD(600, 481) = ( 600 x 481 ) / 288600
GCD(600, 481) = 288600 / 288600
GCD(600, 481) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 653
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 653) = 653
GCD(1, 653) = ( 1 x 653 ) / 653
GCD(1, 653) = 653 / 653
GCD(1, 653) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 259
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 259) = 259
GCD(1, 259) = ( 1 x 259 ) / 259
GCD(1, 259) = 259 / 259
GCD(1, 259) = 1
GCD of 600, 481, 653, 259 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 600, 481, 653, 259?
GCD of 600, 481, 653, 259 is 1
2. Where do I get the detailed procedure to find GCD of 600, 481, 653, 259?
You can find a detailed procedure to find GCD of 600, 481, 653, 259 on our page.
3. How to find GCD of 600, 481, 653, 259 on a calculator?
You can find the GCD of 600, 481, 653, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.