GCD of 450, 285, 25, 318 Calculator

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.

• GCD of 119, 360, 37, 104
• GCD of 234, 623, 14, 718
• GCD of 357, 370, 16, 768
• GCD of 338, 905, 95, 379
• GCD of 742, 896, 36, 905

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.