GCD of 570, 496, 431 Calculator

Given Input numbers are 570, 496, 431

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

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Greatest Common Divisior

We found the divisors of 570, 496, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 570, 496, 431 is 1.

Therefore, GCD of numbers 570, 496, 431 is 1

Given Input Data is 570, 496, 431

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

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 431 is 431

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(570, 496) = 141360

GCD(570, 496) = ( 570 x 496 ) / 141360

GCD(570, 496) = 282720 / 141360

GCD(570, 496) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 431

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

LCM(2, 431) = 862

GCD(2, 431) = ( 2 x 431 ) / 862

GCD(2, 431) = 862 / 862

GCD(2, 431) = 1

GCD of 570, 496, 431 is 1

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1. What is the GCD of 570, 496, 431?

GCD of 570, 496, 431 is 1

2. Where do I get the detailed procedure to find GCD of 570, 496, 431?

You can find a detailed procedure to find GCD of 570, 496, 431 on our page.

3. How to find GCD of 570, 496, 431 on a calculator?

You can find the GCD of 570, 496, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.