GCD of 378, 219, 319, 646 Calculator

Given Input numbers are 378, 219, 319, 646

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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Greatest Common Divisior

We found the divisors of 378, 219, 319, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 219, 319, 646 is 1.

Therefore, GCD of numbers 378, 219, 319, 646 is 1

Given Input Data is 378, 219, 319, 646

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 219 is 3 x 73

Prime Factorization of 319 is 11 x 29

Prime Factorization of 646 is 2 x 17 x 19

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(378, 219) = 27594

GCD(378, 219) = ( 378 x 219 ) / 27594

GCD(378, 219) = 82782 / 27594

GCD(378, 219) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 319

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

LCM(3, 319) = 957

GCD(3, 319) = ( 3 x 319 ) / 957

GCD(3, 319) = 957 / 957

GCD(3, 319) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 646

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

LCM(1, 646) = 646

GCD(1, 646) = ( 1 x 646 ) / 646

GCD(1, 646) = 646 / 646

GCD(1, 646) = 1

GCD of 378, 219, 319, 646 is 1

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1. What is the GCD of 378, 219, 319, 646?

GCD of 378, 219, 319, 646 is 1

2. Where do I get the detailed procedure to find GCD of 378, 219, 319, 646?

You can find a detailed procedure to find GCD of 378, 219, 319, 646 on our page.

3. How to find GCD of 378, 219, 319, 646 on a calculator?

You can find the GCD of 378, 219, 319, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.