GCD of 30, 335, 117, 444 Calculator

Given Input numbers are 30, 335, 117, 444

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

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

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

Greatest Common Divisior

We found the divisors of 30, 335, 117, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 335, 117, 444 is 1.

Therefore, GCD of numbers 30, 335, 117, 444 is 1

Given Input Data is 30, 335, 117, 444

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 335 is 5 x 67

Prime Factorization of 117 is 3 x 3 x 13

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

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(30, 335) = 2010

GCD(30, 335) = ( 30 x 335 ) / 2010

GCD(30, 335) = 10050 / 2010

GCD(30, 335) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 117

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

LCM(5, 117) = 585

GCD(5, 117) = ( 5 x 117 ) / 585

GCD(5, 117) = 585 / 585

GCD(5, 117) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 444

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

LCM(1, 444) = 444

GCD(1, 444) = ( 1 x 444 ) / 444

GCD(1, 444) = 444 / 444

GCD(1, 444) = 1

GCD of 30, 335, 117, 444 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 888, 440, 602
• GCD of 80, 853, 938, 992
• GCD of 98, 582, 389, 990
• GCD of 74, 845, 237, 630
• GCD of 44, 979, 809, 116

1. What is the GCD of 30, 335, 117, 444?

GCD of 30, 335, 117, 444 is 1

2. Where do I get the detailed procedure to find GCD of 30, 335, 117, 444?

You can find a detailed procedure to find GCD of 30, 335, 117, 444 on our page.

3. How to find GCD of 30, 335, 117, 444 on a calculator?

You can find the GCD of 30, 335, 117, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.