GCD of 378, 367, 729, 219 Calculator

Given Input numbers are 378, 367, 729, 219

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 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 219

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

1, 3, 73, 219

Greatest Common Divisior

We found the divisors of 378, 367, 729, 219 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 367, 729, 219 is 1.

Therefore, GCD of numbers 378, 367, 729, 219 is 1

Given Input Data is 378, 367, 729, 219

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 367 is 367

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 219 is 3 x 73

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, 367) = 138726

GCD(378, 367) = ( 378 x 367 ) / 138726

GCD(378, 367) = 138726 / 138726

GCD(378, 367) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 729

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

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

GCD(1, 729) = 729 / 729

GCD(1, 729) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 219

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

LCM(1, 219) = 219

GCD(1, 219) = ( 1 x 219 ) / 219

GCD(1, 219) = 219 / 219

GCD(1, 219) = 1

GCD of 378, 367, 729, 219 is 1

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1. What is the GCD of 378, 367, 729, 219?

GCD of 378, 367, 729, 219 is 1

2. Where do I get the detailed procedure to find GCD of 378, 367, 729, 219?

You can find a detailed procedure to find GCD of 378, 367, 729, 219 on our page.

3. How to find GCD of 378, 367, 729, 219 on a calculator?

You can find the GCD of 378, 367, 729, 219 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.