GCD of 56, 48, 30, 56 Calculator

Given Input numbers are 56, 48, 30, 56

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 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 56

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

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

Greatest Common Divisior

We found the divisors of 56, 48, 30, 56 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 48, 30, 56 is 2.

Therefore, GCD of numbers 56, 48, 30, 56 is 2

Given Input Data is 56, 48, 30, 56

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 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 30 is 2 x 3 x 5

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 48) = 336

GCD(56, 48) = ( 56 x 48 ) / 336

GCD(56, 48) = 2688 / 336

GCD(56, 48) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 30

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

LCM(8, 30) = 120

GCD(8, 30) = ( 8 x 30 ) / 120

GCD(8, 30) = 240 / 120

GCD(8, 30) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

GCD of 56, 48, 30, 56 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 63, 51, 18, 54
• GCD of 30, 39, 30, 72
• GCD of 55, 31, 73, 31
• GCD of 13, 95, 31, 63
• GCD of 77, 67, 81, 26

1. What is the GCD of 56, 48, 30, 56?

GCD of 56, 48, 30, 56 is 2

2. Where do I get the detailed procedure to find GCD of 56, 48, 30, 56?

You can find a detailed procedure to find GCD of 56, 48, 30, 56 on our page.

3. How to find GCD of 56, 48, 30, 56 on a calculator?

You can find the GCD of 56, 48, 30, 56 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.