GCD of 450, 360, 63, 506 Calculator

Given Input numbers are 450, 360, 63, 506

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 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Greatest Common Divisior

We found the divisors of 450, 360, 63, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 360, 63, 506 is 1.

Therefore, GCD of numbers 450, 360, 63, 506 is 1

Given Input Data is 450, 360, 63, 506

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 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 506 is 2 x 11 x 23

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, 360) = 1800

GCD(450, 360) = ( 450 x 360 ) / 1800

GCD(450, 360) = 162000 / 1800

GCD(450, 360) = 90

Step2:

Here we consider the GCD from the above i.e. 90 as first number and the next as 63

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

LCM(90, 63) = 630

GCD(90, 63) = ( 90 x 63 ) / 630

GCD(90, 63) = 5670 / 630

GCD(90, 63) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 506

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

LCM(9, 506) = 4554

GCD(9, 506) = ( 9 x 506 ) / 4554

GCD(9, 506) = 4554 / 4554

GCD(9, 506) = 1

GCD of 450, 360, 63, 506 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 412, 884, 62, 776
• GCD of 179, 805, 71, 308
• GCD of 798, 372, 38, 281
• GCD of 204, 387, 28, 495
• GCD of 709, 119, 19, 538

1. What is the GCD of 450, 360, 63, 506?

GCD of 450, 360, 63, 506 is 1

2. Where do I get the detailed procedure to find GCD of 450, 360, 63, 506?

You can find a detailed procedure to find GCD of 450, 360, 63, 506 on our page.

3. How to find GCD of 450, 360, 63, 506 on a calculator?

You can find the GCD of 450, 360, 63, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.