GCD of 688, 678, 27, 116 Calculator

Given Input numbers are 688, 678, 27, 116

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

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 688, 678, 27, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 678, 27, 116 is 1.

Therefore, GCD of numbers 688, 678, 27, 116 is 1

Given Input Data is 688, 678, 27, 116

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

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 116 is 2 x 2 x 29

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(688, 678) = 233232

GCD(688, 678) = ( 688 x 678 ) / 233232

GCD(688, 678) = 466464 / 233232

GCD(688, 678) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 27

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

LCM(2, 27) = 54

GCD(2, 27) = ( 2 x 27 ) / 54

GCD(2, 27) = 54 / 54

GCD(2, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

GCD of 688, 678, 27, 116 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 910, 192, 75, 680
• GCD of 961, 786, 91, 398
• GCD of 620, 282, 61, 164
• GCD of 578, 968, 29, 620
• GCD of 898, 741, 72, 920

1. What is the GCD of 688, 678, 27, 116?

GCD of 688, 678, 27, 116 is 1

2. Where do I get the detailed procedure to find GCD of 688, 678, 27, 116?

You can find a detailed procedure to find GCD of 688, 678, 27, 116 on our page.

3. How to find GCD of 688, 678, 27, 116 on a calculator?

You can find the GCD of 688, 678, 27, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.