GCD of 131, 774, 37, 819 Calculator

Given Input numbers are 131, 774, 37, 819

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

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Greatest Common Divisior

We found the divisors of 131, 774, 37, 819 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 774, 37, 819 is 1.

Therefore, GCD of numbers 131, 774, 37, 819 is 1

Given Input Data is 131, 774, 37, 819

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

Prime Factorization of 131 is 131

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 37 is 37

Prime Factorization of 819 is 3 x 3 x 7 x 13

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(131, 774) = 101394

GCD(131, 774) = ( 131 x 774 ) / 101394

GCD(131, 774) = 101394 / 101394

GCD(131, 774) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 819

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

LCM(1, 819) = 819

GCD(1, 819) = ( 1 x 819 ) / 819

GCD(1, 819) = 819 / 819

GCD(1, 819) = 1

GCD of 131, 774, 37, 819 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 500, 513, 36, 229
• GCD of 791, 960, 71, 146
• GCD of 945, 812, 69, 174
• GCD of 550, 556, 31, 389
• GCD of 958, 370, 84, 448

1. What is the GCD of 131, 774, 37, 819?

GCD of 131, 774, 37, 819 is 1

2. Where do I get the detailed procedure to find GCD of 131, 774, 37, 819?

You can find a detailed procedure to find GCD of 131, 774, 37, 819 on our page.

3. How to find GCD of 131, 774, 37, 819 on a calculator?

You can find the GCD of 131, 774, 37, 819 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.