GCD of 688, 344, 11, 831 Calculator

Given Input numbers are 688, 344, 11, 831

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 344

List of positive integer divisors of 344 that divides 344 without a remainder.

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

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Greatest Common Divisior

We found the divisors of 688, 344, 11, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 344, 11, 831 is 1.

Therefore, GCD of numbers 688, 344, 11, 831 is 1

Given Input Data is 688, 344, 11, 831

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 344 is 2 x 2 x 2 x 43

Prime Factorization of 11 is 11

Prime Factorization of 831 is 3 x 277

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, 344) = 688

GCD(688, 344) = ( 688 x 344 ) / 688

GCD(688, 344) = 236672 / 688

GCD(688, 344) = 344

Step2:

Here we consider the GCD from the above i.e. 344 as first number and the next as 11

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

LCM(344, 11) = 3784

GCD(344, 11) = ( 344 x 11 ) / 3784

GCD(344, 11) = 3784 / 3784

GCD(344, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 831

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

LCM(1, 831) = 831

GCD(1, 831) = ( 1 x 831 ) / 831

GCD(1, 831) = 831 / 831

GCD(1, 831) = 1

GCD of 688, 344, 11, 831 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 274, 344, 26, 749
• GCD of 666, 623, 73, 515
• GCD of 863, 180, 31, 453
• GCD of 941, 182, 16, 692
• GCD of 269, 327, 16, 511

1. What is the GCD of 688, 344, 11, 831?

GCD of 688, 344, 11, 831 is 1

2. Where do I get the detailed procedure to find GCD of 688, 344, 11, 831?

You can find a detailed procedure to find GCD of 688, 344, 11, 831 on our page.

3. How to find GCD of 688, 344, 11, 831 on a calculator?

You can find the GCD of 688, 344, 11, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.