GCD of 542, 514, 423, 413 Calculator

Given Input numbers are 542, 514, 423, 413

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 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Greatest Common Divisior

We found the divisors of 542, 514, 423, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 514, 423, 413 is 1.

Therefore, GCD of numbers 542, 514, 423, 413 is 1

Given Input Data is 542, 514, 423, 413

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

Prime Factorization of 542 is 2 x 271

Prime Factorization of 514 is 2 x 257

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 413 is 7 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, 514) = 139294

GCD(542, 514) = ( 542 x 514 ) / 139294

GCD(542, 514) = 278588 / 139294

GCD(542, 514) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 423

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

LCM(2, 423) = 846

GCD(2, 423) = ( 2 x 423 ) / 846

GCD(2, 423) = 846 / 846

GCD(2, 423) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 413

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

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

GCD(1, 413) = 413 / 413

GCD(1, 413) = 1

GCD of 542, 514, 423, 413 is 1

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1. What is the GCD of 542, 514, 423, 413?

GCD of 542, 514, 423, 413 is 1

2. Where do I get the detailed procedure to find GCD of 542, 514, 423, 413?

You can find a detailed procedure to find GCD of 542, 514, 423, 413 on our page.

3. How to find GCD of 542, 514, 423, 413 on a calculator?

You can find the GCD of 542, 514, 423, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.