GCD of 56, 8, 58, 68 Calculator

Given Input numbers are 56, 8, 58, 68

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 8

List of positive integer divisors of 8 that divides 8 without a remainder.

1, 2, 4, 8

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Greatest Common Divisior

We found the divisors of 56, 8, 58, 68 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 8, 58, 68 is 2.

Therefore, GCD of numbers 56, 8, 58, 68 is 2

Given Input Data is 56, 8, 58, 68

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 8 is 2 x 2 x 2

Prime Factorization of 58 is 2 x 29

Prime Factorization of 68 is 2 x 2 x 17

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, 8) = 56

GCD(56, 8) = ( 56 x 8 ) / 56

GCD(56, 8) = 448 / 56

GCD(56, 8) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 58

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

LCM(8, 58) = 232

GCD(8, 58) = ( 8 x 58 ) / 232

GCD(8, 58) = 464 / 232

GCD(8, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 68

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

LCM(2, 68) = 68

GCD(2, 68) = ( 2 x 68 ) / 68

GCD(2, 68) = 136 / 68

GCD(2, 68) = 2

GCD of 56, 8, 58, 68 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 6, 84, 99
• GCD of 40, 9, 76, 65
• GCD of 21, 7, 38, 18
• GCD of 53, 7, 58, 69
• GCD of 49, 2, 20, 34

1. What is the GCD of 56, 8, 58, 68?

GCD of 56, 8, 58, 68 is 2

2. Where do I get the detailed procedure to find GCD of 56, 8, 58, 68?

You can find a detailed procedure to find GCD of 56, 8, 58, 68 on our page.

3. How to find GCD of 56, 8, 58, 68 on a calculator?

You can find the GCD of 56, 8, 58, 68 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.