GCD of 344, 261, 510, 590 Calculator

Given Input numbers are 344, 261, 510, 590

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

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Greatest Common Divisior

We found the divisors of 344, 261, 510, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 261, 510, 590 is 1.

Therefore, GCD of numbers 344, 261, 510, 590 is 1

Given Input Data is 344, 261, 510, 590

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 590 is 2 x 5 x 59

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(344, 261) = 89784

GCD(344, 261) = ( 344 x 261 ) / 89784

GCD(344, 261) = 89784 / 89784

GCD(344, 261) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 510

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

LCM(1, 510) = 510

GCD(1, 510) = ( 1 x 510 ) / 510

GCD(1, 510) = 510 / 510

GCD(1, 510) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 590

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

LCM(1, 590) = 590

GCD(1, 590) = ( 1 x 590 ) / 590

GCD(1, 590) = 590 / 590

GCD(1, 590) = 1

GCD of 344, 261, 510, 590 is 1

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1. What is the GCD of 344, 261, 510, 590?

GCD of 344, 261, 510, 590 is 1

2. Where do I get the detailed procedure to find GCD of 344, 261, 510, 590?

You can find a detailed procedure to find GCD of 344, 261, 510, 590 on our page.

3. How to find GCD of 344, 261, 510, 590 on a calculator?

You can find the GCD of 344, 261, 510, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.