GCD of 994, 394, 708, 947 Calculator

Given Input numbers are 994, 394, 708, 947

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

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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 994, 394, 708, 947 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 394, 708, 947 is 1.

Therefore, GCD of numbers 994, 394, 708, 947 is 1

Given Input Data is 994, 394, 708, 947

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

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 394 is 2 x 197

Prime Factorization of 708 is 2 x 2 x 3 x 59

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(994, 394) = 195818

GCD(994, 394) = ( 994 x 394 ) / 195818

GCD(994, 394) = 391636 / 195818

GCD(994, 394) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 708

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

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

GCD(2, 708) = 1416 / 708

GCD(2, 708) = 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 994, 394, 708, 947 is 1

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1. What is the GCD of 994, 394, 708, 947?

GCD of 994, 394, 708, 947 is 1

2. Where do I get the detailed procedure to find GCD of 994, 394, 708, 947?

You can find a detailed procedure to find GCD of 994, 394, 708, 947 on our page.

3. How to find GCD of 994, 394, 708, 947 on a calculator?

You can find the GCD of 994, 394, 708, 947 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.