GCD of 342, 258, 19, 474 Calculator

Given Input numbers are 342, 258, 19, 474

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

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 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 342, 258, 19, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 258, 19, 474 is 1.

Therefore, GCD of numbers 342, 258, 19, 474 is 1

Given Input Data is 342, 258, 19, 474

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

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

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 19 is 19

Prime Factorization of 474 is 2 x 3 x 79

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(342, 258) = 14706

GCD(342, 258) = ( 342 x 258 ) / 14706

GCD(342, 258) = 88236 / 14706

GCD(342, 258) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 19

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

LCM(6, 19) = 114

GCD(6, 19) = ( 6 x 19 ) / 114

GCD(6, 19) = 114 / 114

GCD(6, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

GCD of 342, 258, 19, 474 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 445, 223, 32, 320
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• GCD of 648, 991, 32, 144
• GCD of 327, 124, 82, 937
• GCD of 143, 133, 99, 426

1. What is the GCD of 342, 258, 19, 474?

GCD of 342, 258, 19, 474 is 1

2. Where do I get the detailed procedure to find GCD of 342, 258, 19, 474?

You can find a detailed procedure to find GCD of 342, 258, 19, 474 on our page.

3. How to find GCD of 342, 258, 19, 474 on a calculator?

You can find the GCD of 342, 258, 19, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.