GCD of 431, 578, 96, 248 Calculator

Given Input numbers are 431, 578, 96, 248

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

Divisors of 431

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

1, 431

Divisors of 578

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

1, 2, 17, 34, 289, 578

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

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

Greatest Common Divisior

We found the divisors of 431, 578, 96, 248 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 578, 96, 248 is 1.

Therefore, GCD of numbers 431, 578, 96, 248 is 1

Given Input Data is 431, 578, 96, 248

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

Prime Factorization of 431 is 431

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 248 is 2 x 2 x 2 x 31

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(431, 578) = 249118

GCD(431, 578) = ( 431 x 578 ) / 249118

GCD(431, 578) = 249118 / 249118

GCD(431, 578) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 248

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

LCM(1, 248) = 248

GCD(1, 248) = ( 1 x 248 ) / 248

GCD(1, 248) = 248 / 248

GCD(1, 248) = 1

GCD of 431, 578, 96, 248 is 1

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1. What is the GCD of 431, 578, 96, 248?

GCD of 431, 578, 96, 248 is 1

2. Where do I get the detailed procedure to find GCD of 431, 578, 96, 248?

You can find a detailed procedure to find GCD of 431, 578, 96, 248 on our page.

3. How to find GCD of 431, 578, 96, 248 on a calculator?

You can find the GCD of 431, 578, 96, 248 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.