GCD of 30, 18, 53 Calculator

Given Input numbers are 30, 18, 53

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 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Greatest Common Divisior

We found the divisors of 30, 18, 53 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 18, 53 is 1.

Therefore, GCD of numbers 30, 18, 53 is 1

Given Input Data is 30, 18, 53

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 18 is 2 x 3 x 3

Prime Factorization of 53 is 53

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, 18) = 90

GCD(30, 18) = ( 30 x 18 ) / 90

GCD(30, 18) = 540 / 90

GCD(30, 18) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 53

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

LCM(6, 53) = 318

GCD(6, 53) = ( 6 x 53 ) / 318

GCD(6, 53) = 318 / 318

GCD(6, 53) = 1

GCD of 30, 18, 53 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 77, 80, 91
• GCD of 39, 46, 37
• GCD of 59, 49, 25
• GCD of 28, 15, 94
• GCD of 47, 19, 89

1. What is the GCD of 30, 18, 53?

GCD of 30, 18, 53 is 1

2. Where do I get the detailed procedure to find GCD of 30, 18, 53?

You can find a detailed procedure to find GCD of 30, 18, 53 on our page.

3. How to find GCD of 30, 18, 53 on a calculator?

You can find the GCD of 30, 18, 53 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.