GCD of 450, 591, 53, 388 Calculator

Given Input numbers are 450, 591, 53, 388

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 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Greatest Common Divisior

We found the divisors of 450, 591, 53, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 591, 53, 388 is 1.

Therefore, GCD of numbers 450, 591, 53, 388 is 1

Given Input Data is 450, 591, 53, 388

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 591 is 3 x 197

Prime Factorization of 53 is 53

Prime Factorization of 388 is 2 x 2 x 97

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, 591) = 88650

GCD(450, 591) = ( 450 x 591 ) / 88650

GCD(450, 591) = 265950 / 88650

GCD(450, 591) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 53

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

LCM(3, 53) = 159

GCD(3, 53) = ( 3 x 53 ) / 159

GCD(3, 53) = 159 / 159

GCD(3, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 388

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

LCM(1, 388) = 388

GCD(1, 388) = ( 1 x 388 ) / 388

GCD(1, 388) = 388 / 388

GCD(1, 388) = 1

GCD of 450, 591, 53, 388 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 959, 168, 28, 463
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• GCD of 717, 246, 88, 199

1. What is the GCD of 450, 591, 53, 388?

GCD of 450, 591, 53, 388 is 1

2. Where do I get the detailed procedure to find GCD of 450, 591, 53, 388?

You can find a detailed procedure to find GCD of 450, 591, 53, 388 on our page.

3. How to find GCD of 450, 591, 53, 388 on a calculator?

You can find the GCD of 450, 591, 53, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.