GCD of 574, 992, 251 Calculator

Given Input numbers are 574, 992, 251

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

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Greatest Common Divisior

We found the divisors of 574, 992, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 992, 251 is 1.

Therefore, GCD of numbers 574, 992, 251 is 1

Given Input Data is 574, 992, 251

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

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 251 is 251

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(574, 992) = 284704

GCD(574, 992) = ( 574 x 992 ) / 284704

GCD(574, 992) = 569408 / 284704

GCD(574, 992) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 251

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

LCM(2, 251) = 502

GCD(2, 251) = ( 2 x 251 ) / 502

GCD(2, 251) = 502 / 502

GCD(2, 251) = 1

GCD of 574, 992, 251 is 1

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1. What is the GCD of 574, 992, 251?

GCD of 574, 992, 251 is 1

2. Where do I get the detailed procedure to find GCD of 574, 992, 251?

You can find a detailed procedure to find GCD of 574, 992, 251 on our page.

3. How to find GCD of 574, 992, 251 on a calculator?

You can find the GCD of 574, 992, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.