GCD of 450, 460, 481, 686 Calculator

Given Input numbers are 450, 460, 481, 686

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 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 481

List of positive integer divisors of 481 that divides 481 without a remainder.

1, 13, 37, 481

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 450, 460, 481, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 460, 481, 686 is 1.

Therefore, GCD of numbers 450, 460, 481, 686 is 1

Given Input Data is 450, 460, 481, 686

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 460 is 2 x 2 x 5 x 23

Prime Factorization of 481 is 13 x 37

Prime Factorization of 686 is 2 x 7 x 7 x 7

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, 460) = 20700

GCD(450, 460) = ( 450 x 460 ) / 20700

GCD(450, 460) = 207000 / 20700

GCD(450, 460) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 481

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

LCM(10, 481) = 4810

GCD(10, 481) = ( 10 x 481 ) / 4810

GCD(10, 481) = 4810 / 4810

GCD(10, 481) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 450, 460, 481, 686 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 212, 685, 575
• GCD of 227, 798, 694, 560
• GCD of 802, 864, 821, 532
• GCD of 814, 888, 589, 751
• GCD of 729, 256, 354, 356

1. What is the GCD of 450, 460, 481, 686?

GCD of 450, 460, 481, 686 is 1

2. Where do I get the detailed procedure to find GCD of 450, 460, 481, 686?

You can find a detailed procedure to find GCD of 450, 460, 481, 686 on our page.

3. How to find GCD of 450, 460, 481, 686 on a calculator?

You can find the GCD of 450, 460, 481, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.