GCD of 213, 685, 17, 973 Calculator

Given Input numbers are 213, 685, 17, 973

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

Divisors of 213

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

1, 3, 71, 213

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Greatest Common Divisior

We found the divisors of 213, 685, 17, 973 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 685, 17, 973 is 1.

Therefore, GCD of numbers 213, 685, 17, 973 is 1

Given Input Data is 213, 685, 17, 973

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 685 is 5 x 137

Prime Factorization of 17 is 17

Prime Factorization of 973 is 7 x 139

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(213, 685) = 145905

GCD(213, 685) = ( 213 x 685 ) / 145905

GCD(213, 685) = 145905 / 145905

GCD(213, 685) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 973

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

LCM(1, 973) = 973

GCD(1, 973) = ( 1 x 973 ) / 973

GCD(1, 973) = 973 / 973

GCD(1, 973) = 1

GCD of 213, 685, 17, 973 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 451, 664, 31, 146
• GCD of 607, 258, 51, 521
• GCD of 819, 934, 17, 292
• GCD of 858, 366, 80, 171
• GCD of 113, 130, 24, 733

1. What is the GCD of 213, 685, 17, 973?

GCD of 213, 685, 17, 973 is 1

2. Where do I get the detailed procedure to find GCD of 213, 685, 17, 973?

You can find a detailed procedure to find GCD of 213, 685, 17, 973 on our page.

3. How to find GCD of 213, 685, 17, 973 on a calculator?

You can find the GCD of 213, 685, 17, 973 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.