GCD of 450, 201, 488 Calculator

Given Input numbers are 450, 201, 488

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 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Greatest Common Divisior

We found the divisors of 450, 201, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 201, 488 is 1.

Therefore, GCD of numbers 450, 201, 488 is 1

Given Input Data is 450, 201, 488

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 201 is 3 x 67

Prime Factorization of 488 is 2 x 2 x 2 x 61

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, 201) = 30150

GCD(450, 201) = ( 450 x 201 ) / 30150

GCD(450, 201) = 90450 / 30150

GCD(450, 201) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 488

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

LCM(3, 488) = 1464

GCD(3, 488) = ( 3 x 488 ) / 1464

GCD(3, 488) = 1464 / 1464

GCD(3, 488) = 1

GCD of 450, 201, 488 is 1

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1. What is the GCD of 450, 201, 488?

GCD of 450, 201, 488 is 1

2. Where do I get the detailed procedure to find GCD of 450, 201, 488?

You can find a detailed procedure to find GCD of 450, 201, 488 on our page.

3. How to find GCD of 450, 201, 488 on a calculator?

You can find the GCD of 450, 201, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.