GCD of 21, 9, 41, 55 Calculator

Given Input numbers are 21, 9, 41, 55

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

Divisors of 21

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

1, 3, 7, 21

Divisors of 9

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

1, 3, 9

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Greatest Common Divisior

We found the divisors of 21, 9, 41, 55 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 9, 41, 55 is 1.

Therefore, GCD of numbers 21, 9, 41, 55 is 1

Given Input Data is 21, 9, 41, 55

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 9 is 3 x 3

Prime Factorization of 41 is 41

Prime Factorization of 55 is 5 x 11

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(21, 9) = 63

GCD(21, 9) = ( 21 x 9 ) / 63

GCD(21, 9) = 189 / 63

GCD(21, 9) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 41

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

LCM(3, 41) = 123

GCD(3, 41) = ( 3 x 41 ) / 123

GCD(3, 41) = 123 / 123

GCD(3, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 1

GCD of 21, 9, 41, 55 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 95, 7, 99, 15
• GCD of 81, 4, 48, 40
• GCD of 38, 2, 48, 76
• GCD of 58, 3, 74, 69
• GCD of 66, 3, 71, 33

1. What is the GCD of 21, 9, 41, 55?

GCD of 21, 9, 41, 55 is 1

2. Where do I get the detailed procedure to find GCD of 21, 9, 41, 55?

You can find a detailed procedure to find GCD of 21, 9, 41, 55 on our page.

3. How to find GCD of 21, 9, 41, 55 on a calculator?

You can find the GCD of 21, 9, 41, 55 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.