GCD of 542, 344, 19, 590 Calculator

Given Input numbers are 542, 344, 19, 590

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

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

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 19

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

1, 19

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 542, 344, 19, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 344, 19, 590 is 1.

Therefore, GCD of numbers 542, 344, 19, 590 is 1

Given Input Data is 542, 344, 19, 590

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

Prime Factorization of 542 is 2 x 271

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

Prime Factorization of 19 is 19

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(542, 344) = 93224

GCD(542, 344) = ( 542 x 344 ) / 93224

GCD(542, 344) = 186448 / 93224

GCD(542, 344) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 19

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

LCM(2, 19) = 38

GCD(2, 19) = ( 2 x 19 ) / 38

GCD(2, 19) = 38 / 38

GCD(2, 19) = 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 542, 344, 19, 590 is 1

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• GCD of 752, 879, 47, 278
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1. What is the GCD of 542, 344, 19, 590?

GCD of 542, 344, 19, 590 is 1

2. Where do I get the detailed procedure to find GCD of 542, 344, 19, 590?

You can find a detailed procedure to find GCD of 542, 344, 19, 590 on our page.

3. How to find GCD of 542, 344, 19, 590 on a calculator?

You can find the GCD of 542, 344, 19, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.