GCD of 450, 878, 447, 918 Calculator

Given Input numbers are 450, 878, 447, 918

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 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Greatest Common Divisior

We found the divisors of 450, 878, 447, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 878, 447, 918 is 1.

Therefore, GCD of numbers 450, 878, 447, 918 is 1

Given Input Data is 450, 878, 447, 918

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 878 is 2 x 439

Prime Factorization of 447 is 3 x 149

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

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, 878) = 197550

GCD(450, 878) = ( 450 x 878 ) / 197550

GCD(450, 878) = 395100 / 197550

GCD(450, 878) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 447

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 447) = 894

GCD(2, 447) = ( 2 x 447 ) / 894

GCD(2, 447) = 894 / 894

GCD(2, 447) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 918

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

GCD(1, 918) = 918 / 918

GCD(1, 918) = 1

GCD of 450, 878, 447, 918 is 1

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1. What is the GCD of 450, 878, 447, 918?

GCD of 450, 878, 447, 918 is 1

2. Where do I get the detailed procedure to find GCD of 450, 878, 447, 918?

You can find a detailed procedure to find GCD of 450, 878, 447, 918 on our page.

3. How to find GCD of 450, 878, 447, 918 on a calculator?

You can find the GCD of 450, 878, 447, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.