GCD of 56, 216, 305, 756 Calculator

Given Input numbers are 56, 216, 305, 756

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 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Greatest Common Divisior

We found the divisors of 56, 216, 305, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 216, 305, 756 is 1.

Therefore, GCD of numbers 56, 216, 305, 756 is 1

Given Input Data is 56, 216, 305, 756

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 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 305 is 5 x 61

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

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, 216) = 1512

GCD(56, 216) = ( 56 x 216 ) / 1512

GCD(56, 216) = 12096 / 1512

GCD(56, 216) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 305

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

LCM(8, 305) = 2440

GCD(8, 305) = ( 8 x 305 ) / 2440

GCD(8, 305) = 2440 / 2440

GCD(8, 305) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

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

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 1

GCD of 56, 216, 305, 756 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 22, 268, 726, 252
• GCD of 30, 471, 709, 470
• GCD of 47, 979, 394, 927
• GCD of 30, 622, 525, 963
• GCD of 14, 304, 415, 319

1. What is the GCD of 56, 216, 305, 756?

GCD of 56, 216, 305, 756 is 1

2. Where do I get the detailed procedure to find GCD of 56, 216, 305, 756?

You can find a detailed procedure to find GCD of 56, 216, 305, 756 on our page.

3. How to find GCD of 56, 216, 305, 756 on a calculator?

You can find the GCD of 56, 216, 305, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.