GCD of 572, 344, 542, 217 Calculator

Given Input numbers are 572, 344, 542, 217

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

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

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 542

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

1, 2, 271, 542

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 572, 344, 542, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 572, 344, 542, 217 is 1.

Therefore, GCD of numbers 572, 344, 542, 217 is 1

Given Input Data is 572, 344, 542, 217

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

Prime Factorization of 572 is 2 x 2 x 11 x 13

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

Prime Factorization of 542 is 2 x 271

Prime Factorization of 217 is 7 x 31

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(572, 344) = 49192

GCD(572, 344) = ( 572 x 344 ) / 49192

GCD(572, 344) = 196768 / 49192

GCD(572, 344) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 542

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

LCM(4, 542) = 1084

GCD(4, 542) = ( 4 x 542 ) / 1084

GCD(4, 542) = 2168 / 1084

GCD(4, 542) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 217

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

LCM(2, 217) = 434

GCD(2, 217) = ( 2 x 217 ) / 434

GCD(2, 217) = 434 / 434

GCD(2, 217) = 1

GCD of 572, 344, 542, 217 is 1

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1. What is the GCD of 572, 344, 542, 217?

GCD of 572, 344, 542, 217 is 1

2. Where do I get the detailed procedure to find GCD of 572, 344, 542, 217?

You can find a detailed procedure to find GCD of 572, 344, 542, 217 on our page.

3. How to find GCD of 572, 344, 542, 217 on a calculator?

You can find the GCD of 572, 344, 542, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.