GCD of 572, 417, 968, 299 Calculator

Given Input numbers are 572, 417, 968, 299

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

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

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

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Greatest Common Divisior

We found the divisors of 572, 417, 968, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 572, 417, 968, 299 is 1.

Therefore, GCD of numbers 572, 417, 968, 299 is 1

Given Input Data is 572, 417, 968, 299

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

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 417 is 3 x 139

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

Prime Factorization of 299 is 13 x 23

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(572, 417) = 238524

GCD(572, 417) = ( 572 x 417 ) / 238524

GCD(572, 417) = 238524 / 238524

GCD(572, 417) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 299

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

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

GCD(1, 299) = 299 / 299

GCD(1, 299) = 1

GCD of 572, 417, 968, 299 is 1

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1. What is the GCD of 572, 417, 968, 299?

GCD of 572, 417, 968, 299 is 1

2. Where do I get the detailed procedure to find GCD of 572, 417, 968, 299?

You can find a detailed procedure to find GCD of 572, 417, 968, 299 on our page.

3. How to find GCD of 572, 417, 968, 299 on a calculator?

You can find the GCD of 572, 417, 968, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.