GCD of 814, 137, 116, 249 Calculator

Given Input numbers are 814, 137, 116, 249

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Greatest Common Divisior

We found the divisors of 814, 137, 116, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 137, 116, 249 is 1.

Therefore, GCD of numbers 814, 137, 116, 249 is 1

Given Input Data is 814, 137, 116, 249

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 137 is 137

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 249 is 3 x 83

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(814, 137) = 111518

GCD(814, 137) = ( 814 x 137 ) / 111518

GCD(814, 137) = 111518 / 111518

GCD(814, 137) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 249

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

LCM(1, 249) = 249

GCD(1, 249) = ( 1 x 249 ) / 249

GCD(1, 249) = 249 / 249

GCD(1, 249) = 1

GCD of 814, 137, 116, 249 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 759, 200, 273, 226
• GCD of 520, 872, 456, 111
• GCD of 571, 411, 983, 637
• GCD of 428, 821, 488, 107
• GCD of 989, 605, 766, 765

1. What is the GCD of 814, 137, 116, 249?

GCD of 814, 137, 116, 249 is 1

2. Where do I get the detailed procedure to find GCD of 814, 137, 116, 249?

You can find a detailed procedure to find GCD of 814, 137, 116, 249 on our page.

3. How to find GCD of 814, 137, 116, 249 on a calculator?

You can find the GCD of 814, 137, 116, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.