GCD of 996, 194, 699, 830 Calculator

Given Input numbers are 996, 194, 699, 830

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

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Greatest Common Divisior

We found the divisors of 996, 194, 699, 830 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 194, 699, 830 is 1.

Therefore, GCD of numbers 996, 194, 699, 830 is 1

Given Input Data is 996, 194, 699, 830

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 194 is 2 x 97

Prime Factorization of 699 is 3 x 233

Prime Factorization of 830 is 2 x 5 x 83

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(996, 194) = 96612

GCD(996, 194) = ( 996 x 194 ) / 96612

GCD(996, 194) = 193224 / 96612

GCD(996, 194) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 699

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

LCM(2, 699) = 1398

GCD(2, 699) = ( 2 x 699 ) / 1398

GCD(2, 699) = 1398 / 1398

GCD(2, 699) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 830

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

LCM(1, 830) = 830

GCD(1, 830) = ( 1 x 830 ) / 830

GCD(1, 830) = 830 / 830

GCD(1, 830) = 1

GCD of 996, 194, 699, 830 is 1

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1. What is the GCD of 996, 194, 699, 830?

GCD of 996, 194, 699, 830 is 1

2. Where do I get the detailed procedure to find GCD of 996, 194, 699, 830?

You can find a detailed procedure to find GCD of 996, 194, 699, 830 on our page.

3. How to find GCD of 996, 194, 699, 830 on a calculator?

You can find the GCD of 996, 194, 699, 830 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.