GCD of 116, 706, 774, 499 Calculator

Given Input numbers are 116, 706, 774, 499

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 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Greatest Common Divisior

We found the divisors of 116, 706, 774, 499 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 706, 774, 499 is 1.

Therefore, GCD of numbers 116, 706, 774, 499 is 1

Given Input Data is 116, 706, 774, 499

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 706 is 2 x 353

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 499 is 499

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, 706) = 40948

GCD(116, 706) = ( 116 x 706 ) / 40948

GCD(116, 706) = 81896 / 40948

GCD(116, 706) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 774

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

LCM(2, 774) = 774

GCD(2, 774) = ( 2 x 774 ) / 774

GCD(2, 774) = 1548 / 774

GCD(2, 774) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 499

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

LCM(2, 499) = 998

GCD(2, 499) = ( 2 x 499 ) / 998

GCD(2, 499) = 998 / 998

GCD(2, 499) = 1

GCD of 116, 706, 774, 499 is 1

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1. What is the GCD of 116, 706, 774, 499?

GCD of 116, 706, 774, 499 is 1

2. Where do I get the detailed procedure to find GCD of 116, 706, 774, 499?

You can find a detailed procedure to find GCD of 116, 706, 774, 499 on our page.

3. How to find GCD of 116, 706, 774, 499 on a calculator?

You can find the GCD of 116, 706, 774, 499 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.