GCD of 24, 21, 14, 13 Calculator

Given Input numbers are 24, 21, 14, 13

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

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

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 24, 21, 14, 13 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 21, 14, 13 is 1.

Therefore, GCD of numbers 24, 21, 14, 13 is 1

Given Input Data is 24, 21, 14, 13

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

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 21 is 3 x 7

Prime Factorization of 14 is 2 x 7

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(24, 21) = 168

GCD(24, 21) = ( 24 x 21 ) / 168

GCD(24, 21) = 504 / 168

GCD(24, 21) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 14

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

LCM(3, 14) = 42

GCD(3, 14) = ( 3 x 14 ) / 42

GCD(3, 14) = 42 / 42

GCD(3, 14) = 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 24, 21, 14, 13 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 97, 62, 63, 49
• GCD of 19, 70, 61, 99
• GCD of 29, 63, 93, 39
• GCD of 32, 92, 85, 62
• GCD of 68, 29, 33, 91

1. What is the GCD of 24, 21, 14, 13?

GCD of 24, 21, 14, 13 is 1

2. Where do I get the detailed procedure to find GCD of 24, 21, 14, 13?

You can find a detailed procedure to find GCD of 24, 21, 14, 13 on our page.

3. How to find GCD of 24, 21, 14, 13 on a calculator?

You can find the GCD of 24, 21, 14, 13 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.