GCD of 578, 432, 310, 131 Calculator

Given Input numbers are 578, 432, 310, 131

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

Divisors of 578

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

1, 2, 17, 34, 289, 578

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Greatest Common Divisior

We found the divisors of 578, 432, 310, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 578, 432, 310, 131 is 1.

Therefore, GCD of numbers 578, 432, 310, 131 is 1

Given Input Data is 578, 432, 310, 131

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

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 131 is 131

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(578, 432) = 124848

GCD(578, 432) = ( 578 x 432 ) / 124848

GCD(578, 432) = 249696 / 124848

GCD(578, 432) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 310

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

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

GCD(2, 310) = 620 / 310

GCD(2, 310) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 131

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

LCM(2, 131) = 262

GCD(2, 131) = ( 2 x 131 ) / 262

GCD(2, 131) = 262 / 262

GCD(2, 131) = 1

GCD of 578, 432, 310, 131 is 1

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1. What is the GCD of 578, 432, 310, 131?

GCD of 578, 432, 310, 131 is 1

2. Where do I get the detailed procedure to find GCD of 578, 432, 310, 131?

You can find a detailed procedure to find GCD of 578, 432, 310, 131 on our page.

3. How to find GCD of 578, 432, 310, 131 on a calculator?

You can find the GCD of 578, 432, 310, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.