GCD of 37, 518, 424, 578 Calculator

Given Input numbers are 37, 518, 424, 578

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

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Greatest Common Divisior

We found the divisors of 37, 518, 424, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 518, 424, 578 is 1.

Therefore, GCD of numbers 37, 518, 424, 578 is 1

Given Input Data is 37, 518, 424, 578

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

Prime Factorization of 37 is 37

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 578 is 2 x 17 x 17

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(37, 518) = 518

GCD(37, 518) = ( 37 x 518 ) / 518

GCD(37, 518) = 19166 / 518

GCD(37, 518) = 37

Step2:

Here we consider the GCD from the above i.e. 37 as first number and the next as 424

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

LCM(37, 424) = 15688

GCD(37, 424) = ( 37 x 424 ) / 15688

GCD(37, 424) = 15688 / 15688

GCD(37, 424) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 578

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

LCM(1, 578) = 578

GCD(1, 578) = ( 1 x 578 ) / 578

GCD(1, 578) = 578 / 578

GCD(1, 578) = 1

GCD of 37, 518, 424, 578 is 1

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• GCD of 58, 628, 455, 361
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1. What is the GCD of 37, 518, 424, 578?

GCD of 37, 518, 424, 578 is 1

2. Where do I get the detailed procedure to find GCD of 37, 518, 424, 578?

You can find a detailed procedure to find GCD of 37, 518, 424, 578 on our page.

3. How to find GCD of 37, 518, 424, 578 on a calculator?

You can find the GCD of 37, 518, 424, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.