GCD of 116, 418, 686, 947 Calculator

Given Input numbers are 116, 418, 686, 947

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 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Greatest Common Divisior

We found the divisors of 116, 418, 686, 947 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 418, 686, 947 is 1.

Therefore, GCD of numbers 116, 418, 686, 947 is 1

Given Input Data is 116, 418, 686, 947

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 418 is 2 x 11 x 19

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 947 is 947

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, 418) = 24244

GCD(116, 418) = ( 116 x 418 ) / 24244

GCD(116, 418) = 48488 / 24244

GCD(116, 418) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 686

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

LCM(2, 686) = 686

GCD(2, 686) = ( 2 x 686 ) / 686

GCD(2, 686) = 1372 / 686

GCD(2, 686) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 947

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

LCM(2, 947) = 1894

GCD(2, 947) = ( 2 x 947 ) / 1894

GCD(2, 947) = 1894 / 1894

GCD(2, 947) = 1

GCD of 116, 418, 686, 947 is 1

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1. What is the GCD of 116, 418, 686, 947?

GCD of 116, 418, 686, 947 is 1

2. Where do I get the detailed procedure to find GCD of 116, 418, 686, 947?

You can find a detailed procedure to find GCD of 116, 418, 686, 947 on our page.

3. How to find GCD of 116, 418, 686, 947 on a calculator?

You can find the GCD of 116, 418, 686, 947 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.