GCD of 369, 444, 34, 218 Calculator

Given Input numbers are 369, 444, 34, 218

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 369, 444, 34, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 444, 34, 218 is 1.

Therefore, GCD of numbers 369, 444, 34, 218 is 1

Given Input Data is 369, 444, 34, 218

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 34 is 2 x 17

Prime Factorization of 218 is 2 x 109

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(369, 444) = 54612

GCD(369, 444) = ( 369 x 444 ) / 54612

GCD(369, 444) = 163836 / 54612

GCD(369, 444) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 34

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

LCM(3, 34) = 102

GCD(3, 34) = ( 3 x 34 ) / 102

GCD(3, 34) = 102 / 102

GCD(3, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

GCD of 369, 444, 34, 218 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 263, 753, 42, 590
• GCD of 180, 427, 88, 524
• GCD of 466, 729, 81, 178
• GCD of 198, 218, 53, 520
• GCD of 397, 680, 57, 419

1. What is the GCD of 369, 444, 34, 218?

GCD of 369, 444, 34, 218 is 1

2. Where do I get the detailed procedure to find GCD of 369, 444, 34, 218?

You can find a detailed procedure to find GCD of 369, 444, 34, 218 on our page.

3. How to find GCD of 369, 444, 34, 218 on a calculator?

You can find the GCD of 369, 444, 34, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.