GCD of 487, 659, 315, 448 Calculator

Given Input numbers are 487, 659, 315, 448

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

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Greatest Common Divisior

We found the divisors of 487, 659, 315, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 487, 659, 315, 448 is 1.

Therefore, GCD of numbers 487, 659, 315, 448 is 1

Given Input Data is 487, 659, 315, 448

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

Prime Factorization of 487 is 487

Prime Factorization of 659 is 659

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 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(487, 659) = 320933

GCD(487, 659) = ( 487 x 659 ) / 320933

GCD(487, 659) = 320933 / 320933

GCD(487, 659) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 315

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

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

GCD(1, 315) = 315 / 315

GCD(1, 315) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

GCD of 487, 659, 315, 448 is 1

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1. What is the GCD of 487, 659, 315, 448?

GCD of 487, 659, 315, 448 is 1

2. Where do I get the detailed procedure to find GCD of 487, 659, 315, 448?

You can find a detailed procedure to find GCD of 487, 659, 315, 448 on our page.

3. How to find GCD of 487, 659, 315, 448 on a calculator?

You can find the GCD of 487, 659, 315, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.