GCD of 40, 24, 21 Calculator

Given Input numbers are 40, 24, 21

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

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

Greatest Common Divisior

We found the divisors of 40, 24, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 24, 21 is 1.

Therefore, GCD of numbers 40, 24, 21 is 1

Given Input Data is 40, 24, 21

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

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

Prime Factorization of 21 is 3 x 7

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(40, 24) = 120

GCD(40, 24) = ( 40 x 24 ) / 120

GCD(40, 24) = 960 / 120

GCD(40, 24) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 21

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

LCM(8, 21) = 168

GCD(8, 21) = ( 8 x 21 ) / 168

GCD(8, 21) = 168 / 168

GCD(8, 21) = 1

GCD of 40, 24, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 86, 97
• GCD of 83, 61, 82
• GCD of 50, 64, 90
• GCD of 95, 73, 62
• GCD of 18, 89, 21

1. What is the GCD of 40, 24, 21?

GCD of 40, 24, 21 is 1

2. Where do I get the detailed procedure to find GCD of 40, 24, 21?

You can find a detailed procedure to find GCD of 40, 24, 21 on our page.

3. How to find GCD of 40, 24, 21 on a calculator?

You can find the GCD of 40, 24, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.