GCD of 342, 783, 598, 330 Calculator

Given Input numbers are 342, 783, 598, 330

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 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Greatest Common Divisior

We found the divisors of 342, 783, 598, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 783, 598, 330 is 1.

Therefore, GCD of numbers 342, 783, 598, 330 is 1

Given Input Data is 342, 783, 598, 330

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 783 is 3 x 3 x 3 x 29

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 330 is 2 x 3 x 5 x 11

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, 783) = 29754

GCD(342, 783) = ( 342 x 783 ) / 29754

GCD(342, 783) = 267786 / 29754

GCD(342, 783) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 598

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

LCM(9, 598) = 5382

GCD(9, 598) = ( 9 x 598 ) / 5382

GCD(9, 598) = 5382 / 5382

GCD(9, 598) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 330

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

LCM(1, 330) = 330

GCD(1, 330) = ( 1 x 330 ) / 330

GCD(1, 330) = 330 / 330

GCD(1, 330) = 1

GCD of 342, 783, 598, 330 is 1

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1. What is the GCD of 342, 783, 598, 330?

GCD of 342, 783, 598, 330 is 1

2. Where do I get the detailed procedure to find GCD of 342, 783, 598, 330?

You can find a detailed procedure to find GCD of 342, 783, 598, 330 on our page.

3. How to find GCD of 342, 783, 598, 330 on a calculator?

You can find the GCD of 342, 783, 598, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.