GCD of 54, 56, 30, 52 Calculator

Given Input numbers are 54, 56, 30, 52

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 56

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

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

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 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Greatest Common Divisior

We found the divisors of 54, 56, 30, 52 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 56, 30, 52 is 2.

Therefore, GCD of numbers 54, 56, 30, 52 is 2

Given Input Data is 54, 56, 30, 52

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 56 is 2 x 2 x 2 x 7

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 52 is 2 x 2 x 13

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(54, 56) = 1512

GCD(54, 56) = ( 54 x 56 ) / 1512

GCD(54, 56) = 3024 / 1512

GCD(54, 56) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 30

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

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

GCD(2, 30) = 60 / 30

GCD(2, 30) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 52

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

LCM(2, 52) = 52

GCD(2, 52) = ( 2 x 52 ) / 52

GCD(2, 52) = 104 / 52

GCD(2, 52) = 2

GCD of 54, 56, 30, 52 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 85, 71, 98, 27
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• GCD of 56, 98, 57, 47
• GCD of 34, 93, 49, 83
• GCD of 59, 20, 59, 43

1. What is the GCD of 54, 56, 30, 52?

GCD of 54, 56, 30, 52 is 2

2. Where do I get the detailed procedure to find GCD of 54, 56, 30, 52?

You can find a detailed procedure to find GCD of 54, 56, 30, 52 on our page.

3. How to find GCD of 54, 56, 30, 52 on a calculator?

You can find the GCD of 54, 56, 30, 52 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.