GCD of 914, 214, 81, 284 Calculator

Given Input numbers are 914, 214, 81, 284

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

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 914, 214, 81, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 214, 81, 284 is 1.

Therefore, GCD of numbers 914, 214, 81, 284 is 1

Given Input Data is 914, 214, 81, 284

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 214 is 2 x 107

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 284 is 2 x 2 x 71

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(914, 214) = 97798

GCD(914, 214) = ( 914 x 214 ) / 97798

GCD(914, 214) = 195596 / 97798

GCD(914, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 81

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

LCM(2, 81) = 162

GCD(2, 81) = ( 2 x 81 ) / 162

GCD(2, 81) = 162 / 162

GCD(2, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 284

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

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

GCD(1, 284) = 284 / 284

GCD(1, 284) = 1

GCD of 914, 214, 81, 284 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 642, 442, 70, 109
• GCD of 366, 167, 46, 639
• GCD of 939, 363, 82, 960
• GCD of 956, 472, 47, 155
• GCD of 889, 289, 59, 161

1. What is the GCD of 914, 214, 81, 284?

GCD of 914, 214, 81, 284 is 1

2. Where do I get the detailed procedure to find GCD of 914, 214, 81, 284?

You can find a detailed procedure to find GCD of 914, 214, 81, 284 on our page.

3. How to find GCD of 914, 214, 81, 284 on a calculator?

You can find the GCD of 914, 214, 81, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.