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 999, 477, 604, 253 i.e. 1 largest integer that divides all the numbers equally.
GCD of 999, 477, 604, 253 is 1
GCD(999, 477, 604, 253) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 999, 477, 604, 253 is 1
GCD(999, 477, 604, 253) = 1
Given Input numbers are 999, 477, 604, 253
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Divisors of 604
List of positive integer divisors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
Divisors of 253
List of positive integer divisors of 253 that divides 253 without a remainder.
1, 11, 23, 253
Greatest Common Divisior
We found the divisors of 999, 477, 604, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 477, 604, 253 is 1.
Therefore, GCD of numbers 999, 477, 604, 253 is 1
Given Input Data is 999, 477, 604, 253
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 999 is 3 x 3 x 3 x 37
Prime Factorization of 477 is 3 x 3 x 53
Prime Factorization of 604 is 2 x 2 x 151
Prime Factorization of 253 is 11 x 23
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(999, 477) = 52947
GCD(999, 477) = ( 999 x 477 ) / 52947
GCD(999, 477) = 476523 / 52947
GCD(999, 477) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 604
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 604) = 5436
GCD(9, 604) = ( 9 x 604 ) / 5436
GCD(9, 604) = 5436 / 5436
GCD(9, 604) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 253
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 253) = 253
GCD(1, 253) = ( 1 x 253 ) / 253
GCD(1, 253) = 253 / 253
GCD(1, 253) = 1
GCD of 999, 477, 604, 253 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 999, 477, 604, 253?
GCD of 999, 477, 604, 253 is 1
2. Where do I get the detailed procedure to find GCD of 999, 477, 604, 253?
You can find a detailed procedure to find GCD of 999, 477, 604, 253 on our page.
3. How to find GCD of 999, 477, 604, 253 on a calculator?
You can find the GCD of 999, 477, 604, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.