GCD of 487, 532, 311, 424 Calculator

Given Input numbers are 487, 532, 311, 424

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

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 424

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

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

Greatest Common Divisior

We found the divisors of 487, 532, 311, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 487, 532, 311, 424 is 1.

Therefore, GCD of numbers 487, 532, 311, 424 is 1

Given Input Data is 487, 532, 311, 424

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

Prime Factorization of 487 is 487

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 311 is 311

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

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(487, 532) = 259084

GCD(487, 532) = ( 487 x 532 ) / 259084

GCD(487, 532) = 259084 / 259084

GCD(487, 532) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 311

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

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

GCD(1, 311) = 311 / 311

GCD(1, 311) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 424

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

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

GCD(1, 424) = 424 / 424

GCD(1, 424) = 1

GCD of 487, 532, 311, 424 is 1

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1. What is the GCD of 487, 532, 311, 424?

GCD of 487, 532, 311, 424 is 1

2. Where do I get the detailed procedure to find GCD of 487, 532, 311, 424?

You can find a detailed procedure to find GCD of 487, 532, 311, 424 on our page.

3. How to find GCD of 487, 532, 311, 424 on a calculator?

You can find the GCD of 487, 532, 311, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.