GCD of 558, 498, 299, 342 Calculator

Given Input numbers are 558, 498, 299, 342

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

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

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 558, 498, 299, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 498, 299, 342 is 1.

Therefore, GCD of numbers 558, 498, 299, 342 is 1

Given Input Data is 558, 498, 299, 342

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

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 299 is 13 x 23

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(558, 498) = 46314

GCD(558, 498) = ( 558 x 498 ) / 46314

GCD(558, 498) = 277884 / 46314

GCD(558, 498) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 299

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

LCM(6, 299) = 1794

GCD(6, 299) = ( 6 x 299 ) / 1794

GCD(6, 299) = 1794 / 1794

GCD(6, 299) = 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 558, 498, 299, 342 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 980, 393, 132, 805
• GCD of 678, 389, 563, 209
• GCD of 409, 751, 475, 138
• GCD of 331, 419, 135, 187
• GCD of 843, 464, 740, 758

1. What is the GCD of 558, 498, 299, 342?

GCD of 558, 498, 299, 342 is 1

2. Where do I get the detailed procedure to find GCD of 558, 498, 299, 342?

You can find a detailed procedure to find GCD of 558, 498, 299, 342 on our page.

3. How to find GCD of 558, 498, 299, 342 on a calculator?

You can find the GCD of 558, 498, 299, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.