GCD of 56, 16, 68, 61 Calculator

Given Input numbers are 56, 16, 68, 61

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 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 68

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

1, 2, 4, 17, 34, 68

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Greatest Common Divisior

We found the divisors of 56, 16, 68, 61 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 16, 68, 61 is 1.

Therefore, GCD of numbers 56, 16, 68, 61 is 1

Given Input Data is 56, 16, 68, 61

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 16 is 2 x 2 x 2 x 2

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 61 is 61

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, 16) = 112

GCD(56, 16) = ( 56 x 16 ) / 112

GCD(56, 16) = 896 / 112

GCD(56, 16) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 68

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

LCM(8, 68) = 136

GCD(8, 68) = ( 8 x 68 ) / 136

GCD(8, 68) = 544 / 136

GCD(8, 68) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 61

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

LCM(4, 61) = 244

GCD(4, 61) = ( 4 x 61 ) / 244

GCD(4, 61) = 244 / 244

GCD(4, 61) = 1

GCD of 56, 16, 68, 61 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 27, 42, 17
• GCD of 84, 82, 48, 46
• GCD of 17, 68, 47, 97
• GCD of 86, 10, 21, 71
• GCD of 34, 61, 71, 26

1. What is the GCD of 56, 16, 68, 61?

GCD of 56, 16, 68, 61 is 1

2. Where do I get the detailed procedure to find GCD of 56, 16, 68, 61?

You can find a detailed procedure to find GCD of 56, 16, 68, 61 on our page.

3. How to find GCD of 56, 16, 68, 61 on a calculator?

You can find the GCD of 56, 16, 68, 61 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.