GCD of 994, 709, 30, 916 Calculator

Given Input numbers are 994, 709, 30, 916

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 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 994, 709, 30, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 709, 30, 916 is 1.

Therefore, GCD of numbers 994, 709, 30, 916 is 1

Given Input Data is 994, 709, 30, 916

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 709 is 709

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 916 is 2 x 2 x 229

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, 709) = 704746

GCD(994, 709) = ( 994 x 709 ) / 704746

GCD(994, 709) = 704746 / 704746

GCD(994, 709) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 994, 709, 30, 916 is 1

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1. What is the GCD of 994, 709, 30, 916?

GCD of 994, 709, 30, 916 is 1

2. Where do I get the detailed procedure to find GCD of 994, 709, 30, 916?

You can find a detailed procedure to find GCD of 994, 709, 30, 916 on our page.

3. How to find GCD of 994, 709, 30, 916 on a calculator?

You can find the GCD of 994, 709, 30, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.