GCD of 523, 146, 214, 542 Calculator

Given Input numbers are 523, 146, 214, 542

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

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 542

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

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 523, 146, 214, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 146, 214, 542 is 1.

Therefore, GCD of numbers 523, 146, 214, 542 is 1

Given Input Data is 523, 146, 214, 542

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

Prime Factorization of 523 is 523

Prime Factorization of 146 is 2 x 73

Prime Factorization of 214 is 2 x 107

Prime Factorization of 542 is 2 x 271

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(523, 146) = 76358

GCD(523, 146) = ( 523 x 146 ) / 76358

GCD(523, 146) = 76358 / 76358

GCD(523, 146) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

GCD of 523, 146, 214, 542 is 1

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1. What is the GCD of 523, 146, 214, 542?

GCD of 523, 146, 214, 542 is 1

2. Where do I get the detailed procedure to find GCD of 523, 146, 214, 542?

You can find a detailed procedure to find GCD of 523, 146, 214, 542 on our page.

3. How to find GCD of 523, 146, 214, 542 on a calculator?

You can find the GCD of 523, 146, 214, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.