GCD of 688, 106, 44, 678 Calculator

Given Input numbers are 688, 106, 44, 678

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 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 678

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

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

Greatest Common Divisior

We found the divisors of 688, 106, 44, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 106, 44, 678 is 2.

Therefore, GCD of numbers 688, 106, 44, 678 is 2

Given Input Data is 688, 106, 44, 678

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 106 is 2 x 53

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 678 is 2 x 3 x 113

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(688, 106) = 36464

GCD(688, 106) = ( 688 x 106 ) / 36464

GCD(688, 106) = 72928 / 36464

GCD(688, 106) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 44

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

LCM(2, 44) = 44

GCD(2, 44) = ( 2 x 44 ) / 44

GCD(2, 44) = 88 / 44

GCD(2, 44) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 678

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

LCM(2, 678) = 678

GCD(2, 678) = ( 2 x 678 ) / 678

GCD(2, 678) = 1356 / 678

GCD(2, 678) = 2

GCD of 688, 106, 44, 678 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 429, 570, 35, 980
• GCD of 793, 263, 30, 277
• GCD of 434, 589, 12, 157
• GCD of 803, 495, 80, 636
• GCD of 415, 928, 48, 878

1. What is the GCD of 688, 106, 44, 678?

GCD of 688, 106, 44, 678 is 2

2. Where do I get the detailed procedure to find GCD of 688, 106, 44, 678?

You can find a detailed procedure to find GCD of 688, 106, 44, 678 on our page.

3. How to find GCD of 688, 106, 44, 678 on a calculator?

You can find the GCD of 688, 106, 44, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.