GCD of 444, 216, 759, 659 Calculator

Given Input numbers are 444, 216, 759, 659

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

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 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Greatest Common Divisior

We found the divisors of 444, 216, 759, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 216, 759, 659 is 1.

Therefore, GCD of numbers 444, 216, 759, 659 is 1

Given Input Data is 444, 216, 759, 659

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

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

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 659 is 659

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(444, 216) = 7992

GCD(444, 216) = ( 444 x 216 ) / 7992

GCD(444, 216) = 95904 / 7992

GCD(444, 216) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 759

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

LCM(12, 759) = 3036

GCD(12, 759) = ( 12 x 759 ) / 3036

GCD(12, 759) = 9108 / 3036

GCD(12, 759) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 659

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

LCM(3, 659) = 1977

GCD(3, 659) = ( 3 x 659 ) / 1977

GCD(3, 659) = 1977 / 1977

GCD(3, 659) = 1

GCD of 444, 216, 759, 659 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 164, 333, 812, 813
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• GCD of 684, 903, 801, 561

1. What is the GCD of 444, 216, 759, 659?

GCD of 444, 216, 759, 659 is 1

2. Where do I get the detailed procedure to find GCD of 444, 216, 759, 659?

You can find a detailed procedure to find GCD of 444, 216, 759, 659 on our page.

3. How to find GCD of 444, 216, 759, 659 on a calculator?

You can find the GCD of 444, 216, 759, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.