GCD of 56, 84, 12, 55 Calculator

Given Input numbers are 56, 84, 12, 55

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

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

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 56, 84, 12, 55 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 84, 12, 55 is 1.

Therefore, GCD of numbers 56, 84, 12, 55 is 1

Given Input Data is 56, 84, 12, 55

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

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 12 is 2 x 2 x 3

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(56, 84) = 168

GCD(56, 84) = ( 56 x 84 ) / 168

GCD(56, 84) = 4704 / 168

GCD(56, 84) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 12

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

LCM(28, 12) = 84

GCD(28, 12) = ( 28 x 12 ) / 84

GCD(28, 12) = 336 / 84

GCD(28, 12) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 55

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

LCM(4, 55) = 220

GCD(4, 55) = ( 4 x 55 ) / 220

GCD(4, 55) = 220 / 220

GCD(4, 55) = 1

GCD of 56, 84, 12, 55 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 41, 51, 63, 15
• GCD of 96, 27, 21, 41
• GCD of 82, 51, 20, 36
• GCD of 41, 11, 80, 12
• GCD of 28, 27, 72, 64

1. What is the GCD of 56, 84, 12, 55?

GCD of 56, 84, 12, 55 is 1

2. Where do I get the detailed procedure to find GCD of 56, 84, 12, 55?

You can find a detailed procedure to find GCD of 56, 84, 12, 55 on our page.

3. How to find GCD of 56, 84, 12, 55 on a calculator?

You can find the GCD of 56, 84, 12, 55 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.