GCD of 40, 21, 16, 42 Calculator

Given Input numbers are 40, 21, 16, 42

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 21

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

1, 3, 7, 21

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Greatest Common Divisior

We found the divisors of 40, 21, 16, 42 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 21, 16, 42 is 1.

Therefore, GCD of numbers 40, 21, 16, 42 is 1

Given Input Data is 40, 21, 16, 42

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 21 is 3 x 7

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 42 is 2 x 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, 21) = 840

GCD(40, 21) = ( 40 x 21 ) / 840

GCD(40, 21) = 840 / 840

GCD(40, 21) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

GCD of 40, 21, 16, 42 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 99, 24, 16
• GCD of 51, 44, 82, 83
• GCD of 58, 66, 68, 99
• GCD of 25, 44, 65, 37
• GCD of 30, 49, 35, 87

1. What is the GCD of 40, 21, 16, 42?

GCD of 40, 21, 16, 42 is 1

2. Where do I get the detailed procedure to find GCD of 40, 21, 16, 42?

You can find a detailed procedure to find GCD of 40, 21, 16, 42 on our page.

3. How to find GCD of 40, 21, 16, 42 on a calculator?

You can find the GCD of 40, 21, 16, 42 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.