GCD of 494, 297, 58, 342 Calculator

Given Input numbers are 494, 297, 58, 342

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 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

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

Greatest Common Divisior

We found the divisors of 494, 297, 58, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 297, 58, 342 is 1.

Therefore, GCD of numbers 494, 297, 58, 342 is 1

Given Input Data is 494, 297, 58, 342

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 297 is 3 x 3 x 3 x 11

Prime Factorization of 58 is 2 x 29

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

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, 297) = 146718

GCD(494, 297) = ( 494 x 297 ) / 146718

GCD(494, 297) = 146718 / 146718

GCD(494, 297) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 494, 297, 58, 342 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 103, 537, 84, 354
• GCD of 831, 703, 28, 563
• GCD of 411, 589, 74, 761
• GCD of 505, 396, 52, 994
• GCD of 793, 779, 25, 365

1. What is the GCD of 494, 297, 58, 342?

GCD of 494, 297, 58, 342 is 1

2. Where do I get the detailed procedure to find GCD of 494, 297, 58, 342?

You can find a detailed procedure to find GCD of 494, 297, 58, 342 on our page.

3. How to find GCD of 494, 297, 58, 342 on a calculator?

You can find the GCD of 494, 297, 58, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.