GCD of 214, 668, 42, 390 Calculator

Given Input numbers are 214, 668, 42, 390

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 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Greatest Common Divisior

We found the divisors of 214, 668, 42, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 668, 42, 390 is 2.

Therefore, GCD of numbers 214, 668, 42, 390 is 2

Given Input Data is 214, 668, 42, 390

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 390 is 2 x 3 x 5 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 668) = 71476

GCD(214, 668) = ( 214 x 668 ) / 71476

GCD(214, 668) = 142952 / 71476

GCD(214, 668) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 390

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

LCM(2, 390) = 390

GCD(2, 390) = ( 2 x 390 ) / 390

GCD(2, 390) = 780 / 390

GCD(2, 390) = 2

GCD of 214, 668, 42, 390 is 2

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1. What is the GCD of 214, 668, 42, 390?

GCD of 214, 668, 42, 390 is 2

2. Where do I get the detailed procedure to find GCD of 214, 668, 42, 390?

You can find a detailed procedure to find GCD of 214, 668, 42, 390 on our page.

3. How to find GCD of 214, 668, 42, 390 on a calculator?

You can find the GCD of 214, 668, 42, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.