GCD of 116, 403, 71, 696 Calculator

Given Input numbers are 116, 403, 71, 696

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

Divisors of 116

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

1, 2, 4, 29, 58, 116

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Greatest Common Divisior

We found the divisors of 116, 403, 71, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 403, 71, 696 is 1.

Therefore, GCD of numbers 116, 403, 71, 696 is 1

Given Input Data is 116, 403, 71, 696

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 403 is 13 x 31

Prime Factorization of 71 is 71

Prime Factorization of 696 is 2 x 2 x 2 x 3 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(116, 403) = 46748

GCD(116, 403) = ( 116 x 403 ) / 46748

GCD(116, 403) = 46748 / 46748

GCD(116, 403) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 696

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

LCM(1, 696) = 696

GCD(1, 696) = ( 1 x 696 ) / 696

GCD(1, 696) = 696 / 696

GCD(1, 696) = 1

GCD of 116, 403, 71, 696 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 945, 562, 42, 346
• GCD of 382, 428, 31, 287
• GCD of 928, 460, 55, 875
• GCD of 232, 368, 96, 486
• GCD of 485, 195, 54, 348

1. What is the GCD of 116, 403, 71, 696?

GCD of 116, 403, 71, 696 is 1

2. Where do I get the detailed procedure to find GCD of 116, 403, 71, 696?

You can find a detailed procedure to find GCD of 116, 403, 71, 696 on our page.

3. How to find GCD of 116, 403, 71, 696 on a calculator?

You can find the GCD of 116, 403, 71, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.