GCD of 108, 713, 52, 291 Calculator

Given Input numbers are 108, 713, 52, 291

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Greatest Common Divisior

We found the divisors of 108, 713, 52, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 713, 52, 291 is 1.

Therefore, GCD of numbers 108, 713, 52, 291 is 1

Given Input Data is 108, 713, 52, 291

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 713 is 23 x 31

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 291 is 3 x 97

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(108, 713) = 77004

GCD(108, 713) = ( 108 x 713 ) / 77004

GCD(108, 713) = 77004 / 77004

GCD(108, 713) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 52

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

LCM(1, 52) = 52

GCD(1, 52) = ( 1 x 52 ) / 52

GCD(1, 52) = 52 / 52

GCD(1, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 291

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

LCM(1, 291) = 291

GCD(1, 291) = ( 1 x 291 ) / 291

GCD(1, 291) = 291 / 291

GCD(1, 291) = 1

GCD of 108, 713, 52, 291 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 903, 589, 59, 714
• GCD of 576, 819, 49, 801
• GCD of 424, 624, 44, 389
• GCD of 529, 227, 43, 454
• GCD of 706, 181, 73, 338

1. What is the GCD of 108, 713, 52, 291?

GCD of 108, 713, 52, 291 is 1

2. Where do I get the detailed procedure to find GCD of 108, 713, 52, 291?

You can find a detailed procedure to find GCD of 108, 713, 52, 291 on our page.

3. How to find GCD of 108, 713, 52, 291 on a calculator?

You can find the GCD of 108, 713, 52, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.