GCD of 659, 500, 13, 315 Calculator

Given Input numbers are 659, 500, 13, 315

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

Divisors of 659

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

1, 659

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

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

Greatest Common Divisior

We found the divisors of 659, 500, 13, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 659, 500, 13, 315 is 1.

Therefore, GCD of numbers 659, 500, 13, 315 is 1

Given Input Data is 659, 500, 13, 315

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

Prime Factorization of 659 is 659

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 13 is 13

Prime Factorization of 315 is 3 x 3 x 5 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(659, 500) = 329500

GCD(659, 500) = ( 659 x 500 ) / 329500

GCD(659, 500) = 329500 / 329500

GCD(659, 500) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

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

GCD of 659, 500, 13, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 406, 945, 61, 127
• GCD of 569, 662, 53, 243
• GCD of 776, 920, 22, 235
• GCD of 134, 185, 83, 620
• GCD of 301, 243, 39, 118

1. What is the GCD of 659, 500, 13, 315?

GCD of 659, 500, 13, 315 is 1

2. Where do I get the detailed procedure to find GCD of 659, 500, 13, 315?

You can find a detailed procedure to find GCD of 659, 500, 13, 315 on our page.

3. How to find GCD of 659, 500, 13, 315 on a calculator?

You can find the GCD of 659, 500, 13, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.