GCD of 494, 342, 83, 791 Calculator

Given Input numbers are 494, 342, 83, 791

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

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Greatest Common Divisior

We found the divisors of 494, 342, 83, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 342, 83, 791 is 1.

Therefore, GCD of numbers 494, 342, 83, 791 is 1

Given Input Data is 494, 342, 83, 791

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

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 83 is 83

Prime Factorization of 791 is 7 x 113

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(494, 342) = 4446

GCD(494, 342) = ( 494 x 342 ) / 4446

GCD(494, 342) = 168948 / 4446

GCD(494, 342) = 38

Step2:

Here we consider the GCD from the above i.e. 38 as first number and the next as 83

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

LCM(38, 83) = 3154

GCD(38, 83) = ( 38 x 83 ) / 3154

GCD(38, 83) = 3154 / 3154

GCD(38, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 791

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

LCM(1, 791) = 791

GCD(1, 791) = ( 1 x 791 ) / 791

GCD(1, 791) = 791 / 791

GCD(1, 791) = 1

GCD of 494, 342, 83, 791 is 1

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1. What is the GCD of 494, 342, 83, 791?

GCD of 494, 342, 83, 791 is 1

2. Where do I get the detailed procedure to find GCD of 494, 342, 83, 791?

You can find a detailed procedure to find GCD of 494, 342, 83, 791 on our page.

3. How to find GCD of 494, 342, 83, 791 on a calculator?

You can find the GCD of 494, 342, 83, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.