GCD of 30, 68, 89, 13 Calculator

Given Input numbers are 30, 68, 89, 13

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 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Greatest Common Divisior

We found the divisors of 30, 68, 89, 13 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 68, 89, 13 is 1.

Therefore, GCD of numbers 30, 68, 89, 13 is 1

Given Input Data is 30, 68, 89, 13

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 68 is 2 x 2 x 17

Prime Factorization of 89 is 89

Prime Factorization of 13 is 13

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, 68) = 1020

GCD(30, 68) = ( 30 x 68 ) / 1020

GCD(30, 68) = 2040 / 1020

GCD(30, 68) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 89

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

LCM(2, 89) = 178

GCD(2, 89) = ( 2 x 89 ) / 178

GCD(2, 89) = 178 / 178

GCD(2, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

GCD of 30, 68, 89, 13 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 58, 84, 57, 88
• GCD of 48, 75, 22, 49
• GCD of 62, 50, 38, 88
• GCD of 87, 71, 31, 65
• GCD of 39, 58, 85, 75

1. What is the GCD of 30, 68, 89, 13?

GCD of 30, 68, 89, 13 is 1

2. Where do I get the detailed procedure to find GCD of 30, 68, 89, 13?

You can find a detailed procedure to find GCD of 30, 68, 89, 13 on our page.

3. How to find GCD of 30, 68, 89, 13 on a calculator?

You can find the GCD of 30, 68, 89, 13 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.