GCD of 342, 390, 19, 207 Calculator

Given Input numbers are 342, 390, 19, 207

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

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

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Greatest Common Divisior

We found the divisors of 342, 390, 19, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 390, 19, 207 is 1.

Therefore, GCD of numbers 342, 390, 19, 207 is 1

Given Input Data is 342, 390, 19, 207

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

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

Prime Factorization of 19 is 19

Prime Factorization of 207 is 3 x 3 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(342, 390) = 22230

GCD(342, 390) = ( 342 x 390 ) / 22230

GCD(342, 390) = 133380 / 22230

GCD(342, 390) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 19

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

LCM(6, 19) = 114

GCD(6, 19) = ( 6 x 19 ) / 114

GCD(6, 19) = 114 / 114

GCD(6, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 207

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

LCM(1, 207) = 207

GCD(1, 207) = ( 1 x 207 ) / 207

GCD(1, 207) = 207 / 207

GCD(1, 207) = 1

GCD of 342, 390, 19, 207 is 1

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1. What is the GCD of 342, 390, 19, 207?

GCD of 342, 390, 19, 207 is 1

2. Where do I get the detailed procedure to find GCD of 342, 390, 19, 207?

You can find a detailed procedure to find GCD of 342, 390, 19, 207 on our page.

3. How to find GCD of 342, 390, 19, 207 on a calculator?

You can find the GCD of 342, 390, 19, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.