GCD of 116, 814, 291, 382 Calculator

Given Input numbers are 116, 814, 291, 382

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

Divisors of 116

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

1, 2, 4, 29, 58, 116

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 291

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

1, 3, 97, 291

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 116, 814, 291, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 814, 291, 382 is 1.

Therefore, GCD of numbers 116, 814, 291, 382 is 1

Given Input Data is 116, 814, 291, 382

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 291 is 3 x 97

Prime Factorization of 382 is 2 x 191

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(116, 814) = 47212

GCD(116, 814) = ( 116 x 814 ) / 47212

GCD(116, 814) = 94424 / 47212

GCD(116, 814) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 291

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

LCM(2, 291) = 582

GCD(2, 291) = ( 2 x 291 ) / 582

GCD(2, 291) = 582 / 582

GCD(2, 291) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 382

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

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

GCD(1, 382) = 382 / 382

GCD(1, 382) = 1

GCD of 116, 814, 291, 382 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 222, 589, 629, 323
• GCD of 955, 973, 883, 217
• GCD of 519, 228, 501, 707
• GCD of 959, 748, 394, 611
• GCD of 866, 392, 962, 262

1. What is the GCD of 116, 814, 291, 382?

GCD of 116, 814, 291, 382 is 1

2. Where do I get the detailed procedure to find GCD of 116, 814, 291, 382?

You can find a detailed procedure to find GCD of 116, 814, 291, 382 on our page.

3. How to find GCD of 116, 814, 291, 382 on a calculator?

You can find the GCD of 116, 814, 291, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.