GCD of 11, 113, 936, 688 Calculator

Given Input numbers are 11, 113, 936, 688

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

Divisors of 11

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

1, 11

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

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

Greatest Common Divisior

We found the divisors of 11, 113, 936, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 11, 113, 936, 688 is 1.

Therefore, GCD of numbers 11, 113, 936, 688 is 1

Given Input Data is 11, 113, 936, 688

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

Prime Factorization of 11 is 11

Prime Factorization of 113 is 113

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

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

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(11, 113) = 1243

GCD(11, 113) = ( 11 x 113 ) / 1243

GCD(11, 113) = 1243 / 1243

GCD(11, 113) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 936

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

LCM(1, 936) = 936

GCD(1, 936) = ( 1 x 936 ) / 936

GCD(1, 936) = 936 / 936

GCD(1, 936) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 11, 113, 936, 688 is 1

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1. What is the GCD of 11, 113, 936, 688?

GCD of 11, 113, 936, 688 is 1

2. Where do I get the detailed procedure to find GCD of 11, 113, 936, 688?

You can find a detailed procedure to find GCD of 11, 113, 936, 688 on our page.

3. How to find GCD of 11, 113, 936, 688 on a calculator?

You can find the GCD of 11, 113, 936, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.