GCD of 334, 293, 342, 580 Calculator

Given Input numbers are 334, 293, 342, 580

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

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

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 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Greatest Common Divisior

We found the divisors of 334, 293, 342, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 293, 342, 580 is 1.

Therefore, GCD of numbers 334, 293, 342, 580 is 1

Given Input Data is 334, 293, 342, 580

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 293 is 293

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

Prime Factorization of 580 is 2 x 2 x 5 x 29

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(334, 293) = 97862

GCD(334, 293) = ( 334 x 293 ) / 97862

GCD(334, 293) = 97862 / 97862

GCD(334, 293) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 580

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

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

GCD(1, 580) = 580 / 580

GCD(1, 580) = 1

GCD of 334, 293, 342, 580 is 1

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1. What is the GCD of 334, 293, 342, 580?

GCD of 334, 293, 342, 580 is 1

2. Where do I get the detailed procedure to find GCD of 334, 293, 342, 580?

You can find a detailed procedure to find GCD of 334, 293, 342, 580 on our page.

3. How to find GCD of 334, 293, 342, 580 on a calculator?

You can find the GCD of 334, 293, 342, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.