GCD of 585, 603, 14, 213 Calculator

Given Input numbers are 585, 603, 14, 213

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

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 603

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

1, 3, 9, 67, 201, 603

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 585, 603, 14, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 603, 14, 213 is 1.

Therefore, GCD of numbers 585, 603, 14, 213 is 1

Given Input Data is 585, 603, 14, 213

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

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 603 is 3 x 3 x 67

Prime Factorization of 14 is 2 x 7

Prime Factorization of 213 is 3 x 71

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(585, 603) = 39195

GCD(585, 603) = ( 585 x 603 ) / 39195

GCD(585, 603) = 352755 / 39195

GCD(585, 603) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 14

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

LCM(9, 14) = 126

GCD(9, 14) = ( 9 x 14 ) / 126

GCD(9, 14) = 126 / 126

GCD(9, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

GCD of 585, 603, 14, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 932, 174, 39, 105
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• GCD of 389, 211, 20, 335

1. What is the GCD of 585, 603, 14, 213?

GCD of 585, 603, 14, 213 is 1

2. Where do I get the detailed procedure to find GCD of 585, 603, 14, 213?

You can find a detailed procedure to find GCD of 585, 603, 14, 213 on our page.

3. How to find GCD of 585, 603, 14, 213 on a calculator?

You can find the GCD of 585, 603, 14, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.