GCD of 450, 522, 38, 645 Calculator

Given Input numbers are 450, 522, 38, 645

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 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Greatest Common Divisior

We found the divisors of 450, 522, 38, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 522, 38, 645 is 1.

Therefore, GCD of numbers 450, 522, 38, 645 is 1

Given Input Data is 450, 522, 38, 645

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 522 is 2 x 3 x 3 x 29

Prime Factorization of 38 is 2 x 19

Prime Factorization of 645 is 3 x 5 x 43

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, 522) = 13050

GCD(450, 522) = ( 450 x 522 ) / 13050

GCD(450, 522) = 234900 / 13050

GCD(450, 522) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 38

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

LCM(18, 38) = 342

GCD(18, 38) = ( 18 x 38 ) / 342

GCD(18, 38) = 684 / 342

GCD(18, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 645

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

LCM(2, 645) = 1290

GCD(2, 645) = ( 2 x 645 ) / 1290

GCD(2, 645) = 1290 / 1290

GCD(2, 645) = 1

GCD of 450, 522, 38, 645 is 1

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• GCD of 175, 588, 66, 552
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1. What is the GCD of 450, 522, 38, 645?

GCD of 450, 522, 38, 645 is 1

2. Where do I get the detailed procedure to find GCD of 450, 522, 38, 645?

You can find a detailed procedure to find GCD of 450, 522, 38, 645 on our page.

3. How to find GCD of 450, 522, 38, 645 on a calculator?

You can find the GCD of 450, 522, 38, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.