GCD of 214, 990, 174, 345 Calculator

Given Input numbers are 214, 990, 174, 345

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 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

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 214, 990, 174, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 990, 174, 345 is 1.

Therefore, GCD of numbers 214, 990, 174, 345 is 1

Given Input Data is 214, 990, 174, 345

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

Prime Factorization of 214 is 2 x 107

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

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 345 is 3 x 5 x 23

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, 990) = 105930

GCD(214, 990) = ( 214 x 990 ) / 105930

GCD(214, 990) = 211860 / 105930

GCD(214, 990) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 174

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

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

GCD(2, 174) = 348 / 174

GCD(2, 174) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 345

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

LCM(2, 345) = 690

GCD(2, 345) = ( 2 x 345 ) / 690

GCD(2, 345) = 690 / 690

GCD(2, 345) = 1

GCD of 214, 990, 174, 345 is 1

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1. What is the GCD of 214, 990, 174, 345?

GCD of 214, 990, 174, 345 is 1

2. Where do I get the detailed procedure to find GCD of 214, 990, 174, 345?

You can find a detailed procedure to find GCD of 214, 990, 174, 345 on our page.

3. How to find GCD of 214, 990, 174, 345 on a calculator?

You can find the GCD of 214, 990, 174, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.