GCD of 361, 119, 462, 814 Calculator

Given Input numbers are 361, 119, 462, 814

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

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 814

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

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

Greatest Common Divisior

We found the divisors of 361, 119, 462, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 119, 462, 814 is 1.

Therefore, GCD of numbers 361, 119, 462, 814 is 1

Given Input Data is 361, 119, 462, 814

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 119 is 7 x 17

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 814 is 2 x 11 x 37

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(361, 119) = 42959

GCD(361, 119) = ( 361 x 119 ) / 42959

GCD(361, 119) = 42959 / 42959

GCD(361, 119) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 361, 119, 462, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 667, 575, 133, 610
• GCD of 755, 342, 992, 335
• GCD of 233, 752, 587, 505
• GCD of 134, 923, 108, 629
• GCD of 609, 473, 256, 322

1. What is the GCD of 361, 119, 462, 814?

GCD of 361, 119, 462, 814 is 1

2. Where do I get the detailed procedure to find GCD of 361, 119, 462, 814?

You can find a detailed procedure to find GCD of 361, 119, 462, 814 on our page.

3. How to find GCD of 361, 119, 462, 814 on a calculator?

You can find the GCD of 361, 119, 462, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.