GCD of 574, 209, 24, 968 Calculator

Given Input numbers are 574, 209, 24, 968

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 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Greatest Common Divisior

We found the divisors of 574, 209, 24, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 209, 24, 968 is 1.

Therefore, GCD of numbers 574, 209, 24, 968 is 1

Given Input Data is 574, 209, 24, 968

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 209 is 11 x 19

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

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, 209) = 119966

GCD(574, 209) = ( 574 x 209 ) / 119966

GCD(574, 209) = 119966 / 119966

GCD(574, 209) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 968

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

LCM(1, 968) = 968

GCD(1, 968) = ( 1 x 968 ) / 968

GCD(1, 968) = 968 / 968

GCD(1, 968) = 1

GCD of 574, 209, 24, 968 is 1

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1. What is the GCD of 574, 209, 24, 968?

GCD of 574, 209, 24, 968 is 1

2. Where do I get the detailed procedure to find GCD of 574, 209, 24, 968?

You can find a detailed procedure to find GCD of 574, 209, 24, 968 on our page.

3. How to find GCD of 574, 209, 24, 968 on a calculator?

You can find the GCD of 574, 209, 24, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.