GCD of 697, 791, 31, 213 Calculator

Given Input numbers are 697, 791, 31, 213

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

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

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 697, 791, 31, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 697, 791, 31, 213 is 1.

Therefore, GCD of numbers 697, 791, 31, 213 is 1

Given Input Data is 697, 791, 31, 213

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

Prime Factorization of 697 is 17 x 41

Prime Factorization of 791 is 7 x 113

Prime Factorization of 31 is 31

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(697, 791) = 551327

GCD(697, 791) = ( 697 x 791 ) / 551327

GCD(697, 791) = 551327 / 551327

GCD(697, 791) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 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 697, 791, 31, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 511, 817, 89, 130
• GCD of 406, 350, 99, 768
• GCD of 605, 444, 58, 836
• GCD of 120, 395, 82, 740
• GCD of 671, 313, 56, 732

1. What is the GCD of 697, 791, 31, 213?

GCD of 697, 791, 31, 213 is 1

2. Where do I get the detailed procedure to find GCD of 697, 791, 31, 213?

You can find a detailed procedure to find GCD of 697, 791, 31, 213 on our page.

3. How to find GCD of 697, 791, 31, 213 on a calculator?

You can find the GCD of 697, 791, 31, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.