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, 285, 25, 318 i.e. 1 largest integer that divides all the numbers equally.
GCD of 450, 285, 25, 318 is 1
GCD(450, 285, 25, 318) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 450, 285, 25, 318 is 1
GCD(450, 285, 25, 318) = 1
Given Input numbers are 450, 285, 25, 318
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 285
List of positive integer divisors of 285 that divides 285 without a remainder.
1, 3, 5, 15, 19, 57, 95, 285
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Greatest Common Divisior
We found the divisors of 450, 285, 25, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 285, 25, 318 is 1.
Therefore, GCD of numbers 450, 285, 25, 318 is 1
Given Input Data is 450, 285, 25, 318
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 285 is 3 x 5 x 19
Prime Factorization of 25 is 5 x 5
Prime Factorization of 318 is 2 x 3 x 53
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, 285) = 8550
GCD(450, 285) = ( 450 x 285 ) / 8550
GCD(450, 285) = 128250 / 8550
GCD(450, 285) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 25) = 75
GCD(15, 25) = ( 15 x 25 ) / 75
GCD(15, 25) = 375 / 75
GCD(15, 25) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 318
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 318) = 1590
GCD(5, 318) = ( 5 x 318 ) / 1590
GCD(5, 318) = 1590 / 1590
GCD(5, 318) = 1
GCD of 450, 285, 25, 318 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 450, 285, 25, 318?
GCD of 450, 285, 25, 318 is 1
2. Where do I get the detailed procedure to find GCD of 450, 285, 25, 318?
You can find a detailed procedure to find GCD of 450, 285, 25, 318 on our page.
3. How to find GCD of 450, 285, 25, 318 on a calculator?
You can find the GCD of 450, 285, 25, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.