GCD of 54, 55, 15, 21 Calculator

Given Input numbers are 54, 55, 15, 21

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 55

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

1, 5, 11, 55

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

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 54, 55, 15, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 55, 15, 21 is 1.

Therefore, GCD of numbers 54, 55, 15, 21 is 1

Given Input Data is 54, 55, 15, 21

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 55 is 5 x 11

Prime Factorization of 15 is 3 x 5

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(54, 55) = 2970

GCD(54, 55) = ( 54 x 55 ) / 2970

GCD(54, 55) = 2970 / 2970

GCD(54, 55) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 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 54, 55, 15, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 47, 37, 61, 46
• GCD of 91, 39, 68, 78
• GCD of 83, 24, 36, 86
• GCD of 90, 30, 90, 12
• GCD of 60, 76, 60, 71

1. What is the GCD of 54, 55, 15, 21?

GCD of 54, 55, 15, 21 is 1

2. Where do I get the detailed procedure to find GCD of 54, 55, 15, 21?

You can find a detailed procedure to find GCD of 54, 55, 15, 21 on our page.

3. How to find GCD of 54, 55, 15, 21 on a calculator?

You can find the GCD of 54, 55, 15, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.