GCD of 231, 600, 13, 315 Calculator

Given Input numbers are 231, 600, 13, 315

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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 231, 600, 13, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 600, 13, 315 is 1.

Therefore, GCD of numbers 231, 600, 13, 315 is 1

Given Input Data is 231, 600, 13, 315

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

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 600 is 2 x 2 x 2 x 3 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(231, 600) = 46200

GCD(231, 600) = ( 231 x 600 ) / 46200

GCD(231, 600) = 138600 / 46200

GCD(231, 600) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 13

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

LCM(3, 13) = 39

GCD(3, 13) = ( 3 x 13 ) / 39

GCD(3, 13) = 39 / 39

GCD(3, 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 231, 600, 13, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 148, 588, 51, 847
• GCD of 827, 549, 43, 743
• GCD of 792, 129, 60, 492
• GCD of 437, 412, 86, 761
• GCD of 803, 586, 42, 358

1. What is the GCD of 231, 600, 13, 315?

GCD of 231, 600, 13, 315 is 1

2. Where do I get the detailed procedure to find GCD of 231, 600, 13, 315?

You can find a detailed procedure to find GCD of 231, 600, 13, 315 on our page.

3. How to find GCD of 231, 600, 13, 315 on a calculator?

You can find the GCD of 231, 600, 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.