GCD of 218, 536, 56 Calculator

Given Input numbers are 218, 536, 56

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

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

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 218, 536, 56 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 536, 56 is 2.

Therefore, GCD of numbers 218, 536, 56 is 2

Given Input Data is 218, 536, 56

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 536 is 2 x 2 x 2 x 67

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(218, 536) = 58424

GCD(218, 536) = ( 218 x 536 ) / 58424

GCD(218, 536) = 116848 / 58424

GCD(218, 536) = 2

Step2:

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 218, 536, 56 is 2

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1. What is the GCD of 218, 536, 56?

GCD of 218, 536, 56 is 2

2. Where do I get the detailed procedure to find GCD of 218, 536, 56?

You can find a detailed procedure to find GCD of 218, 536, 56 on our page.

3. How to find GCD of 218, 536, 56 on a calculator?

You can find the GCD of 218, 536, 56 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.