GCD of 214, 293, 990 Calculator

Given Input numbers are 214, 293, 990

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

Divisors of 214

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

1, 2, 107, 214

Divisors of 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 214, 293, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 293, 990 is 1.

Therefore, GCD of numbers 214, 293, 990 is 1

Given Input Data is 214, 293, 990

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 293 is 293

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

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(214, 293) = 62702

GCD(214, 293) = ( 214 x 293 ) / 62702

GCD(214, 293) = 62702 / 62702

GCD(214, 293) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

GCD of 214, 293, 990 is 1

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1. What is the GCD of 214, 293, 990?

GCD of 214, 293, 990 is 1

2. Where do I get the detailed procedure to find GCD of 214, 293, 990?

You can find a detailed procedure to find GCD of 214, 293, 990 on our page.

3. How to find GCD of 214, 293, 990 on a calculator?

You can find the GCD of 214, 293, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.