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 450, 305, 55, 808 i.e. 1 largest integer that divides all the numbers equally.
GCD of 450, 305, 55, 808 is 1
GCD(450, 305, 55, 808) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 450, 305, 55, 808 is 1
GCD(450, 305, 55, 808) = 1
Given Input numbers are 450, 305, 55, 808
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 450
List of positive integer divisors of 450 that divides 450 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 305
List of positive integer divisors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Greatest Common Divisior
We found the divisors of 450, 305, 55, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 305, 55, 808 is 1.
Therefore, GCD of numbers 450, 305, 55, 808 is 1
Given Input Data is 450, 305, 55, 808
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5
Prime Factorization of 305 is 5 x 61
Prime Factorization of 55 is 5 x 11
Prime Factorization of 808 is 2 x 2 x 2 x 101
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(450, 305) = 27450
GCD(450, 305) = ( 450 x 305 ) / 27450
GCD(450, 305) = 137250 / 27450
GCD(450, 305) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 55) = 55
GCD(5, 55) = ( 5 x 55 ) / 55
GCD(5, 55) = 275 / 55
GCD(5, 55) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 808
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 808) = 4040
GCD(5, 808) = ( 5 x 808 ) / 4040
GCD(5, 808) = 4040 / 4040
GCD(5, 808) = 1
GCD of 450, 305, 55, 808 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 450, 305, 55, 808?
GCD of 450, 305, 55, 808 is 1
2. Where do I get the detailed procedure to find GCD of 450, 305, 55, 808?
You can find a detailed procedure to find GCD of 450, 305, 55, 808 on our page.
3. How to find GCD of 450, 305, 55, 808 on a calculator?
You can find the GCD of 450, 305, 55, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.