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 489, 550, 76, 405 i.e. 1 largest integer that divides all the numbers equally.
GCD of 489, 550, 76, 405 is 1
GCD(489, 550, 76, 405) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 489, 550, 76, 405 is 1
GCD(489, 550, 76, 405) = 1
Given Input numbers are 489, 550, 76, 405
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 489
List of positive integer divisors of 489 that divides 489 without a remainder.
1, 3, 163, 489
Divisors of 550
List of positive integer divisors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 405
List of positive integer divisors of 405 that divides 405 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Greatest Common Divisior
We found the divisors of 489, 550, 76, 405 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 550, 76, 405 is 1.
Therefore, GCD of numbers 489, 550, 76, 405 is 1
Given Input Data is 489, 550, 76, 405
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 489 is 3 x 163
Prime Factorization of 550 is 2 x 5 x 5 x 11
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 405 is 3 x 3 x 3 x 3 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(489, 550) = 268950
GCD(489, 550) = ( 489 x 550 ) / 268950
GCD(489, 550) = 268950 / 268950
GCD(489, 550) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 76) = 76
GCD(1, 76) = ( 1 x 76 ) / 76
GCD(1, 76) = 76 / 76
GCD(1, 76) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 405
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 405) = 405
GCD(1, 405) = ( 1 x 405 ) / 405
GCD(1, 405) = 405 / 405
GCD(1, 405) = 1
GCD of 489, 550, 76, 405 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 489, 550, 76, 405?
GCD of 489, 550, 76, 405 is 1
2. Where do I get the detailed procedure to find GCD of 489, 550, 76, 405?
You can find a detailed procedure to find GCD of 489, 550, 76, 405 on our page.
3. How to find GCD of 489, 550, 76, 405 on a calculator?
You can find the GCD of 489, 550, 76, 405 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.