GCD of 312, 603, 459, 460 Calculator

Given Input numbers are 312, 603, 459, 460

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 603

List of positive integer divisors of 603 that divides 603 without a remainder.

1, 3, 9, 67, 201, 603

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

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

Greatest Common Divisior

We found the divisors of 312, 603, 459, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 603, 459, 460 is 1.

Therefore, GCD of numbers 312, 603, 459, 460 is 1

Given Input Data is 312, 603, 459, 460

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 603 is 3 x 3 x 67

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 460 is 2 x 2 x 5 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(312, 603) = 62712

GCD(312, 603) = ( 312 x 603 ) / 62712

GCD(312, 603) = 188136 / 62712

GCD(312, 603) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 459

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

LCM(3, 459) = 459

GCD(3, 459) = ( 3 x 459 ) / 459

GCD(3, 459) = 1377 / 459

GCD(3, 459) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 460

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

LCM(3, 460) = 1380

GCD(3, 460) = ( 3 x 460 ) / 1380

GCD(3, 460) = 1380 / 1380

GCD(3, 460) = 1

GCD of 312, 603, 459, 460 is 1

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1. What is the GCD of 312, 603, 459, 460?

GCD of 312, 603, 459, 460 is 1

2. Where do I get the detailed procedure to find GCD of 312, 603, 459, 460?

You can find a detailed procedure to find GCD of 312, 603, 459, 460 on our page.

3. How to find GCD of 312, 603, 459, 460 on a calculator?

You can find the GCD of 312, 603, 459, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.