GCD of 10, 9, 16, 21 Calculator

Given Input numbers are 10, 9, 16, 21

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 9

List of positive integer divisors of 9 that divides 9 without a remainder.

1, 3, 9

Divisors of 16

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

1, 2, 4, 8, 16

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 10, 9, 16, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 9, 16, 21 is 1.

Therefore, GCD of numbers 10, 9, 16, 21 is 1

Given Input Data is 10, 9, 16, 21

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 9 is 3 x 3

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

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(10, 9) = 90

GCD(10, 9) = ( 10 x 9 ) / 90

GCD(10, 9) = 90 / 90

GCD(10, 9) = 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 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

GCD of 10, 9, 16, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 66, 5, 94, 44
• GCD of 32, 1, 86, 90
• GCD of 48, 6, 81, 66
• GCD of 70, 7, 59, 92
• GCD of 51, 3, 15, 46

1. What is the GCD of 10, 9, 16, 21?

GCD of 10, 9, 16, 21 is 1

2. Where do I get the detailed procedure to find GCD of 10, 9, 16, 21?

You can find a detailed procedure to find GCD of 10, 9, 16, 21 on our page.

3. How to find GCD of 10, 9, 16, 21 on a calculator?

You can find the GCD of 10, 9, 16, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.