GCD of 261, 568, 199, 600 Calculator

Given Input numbers are 261, 568, 199, 600

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

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Greatest Common Divisior

We found the divisors of 261, 568, 199, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 568, 199, 600 is 1.

Therefore, GCD of numbers 261, 568, 199, 600 is 1

Given Input Data is 261, 568, 199, 600

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

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 568 is 2 x 2 x 2 x 71

Prime Factorization of 199 is 199

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

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(261, 568) = 148248

GCD(261, 568) = ( 261 x 568 ) / 148248

GCD(261, 568) = 148248 / 148248

GCD(261, 568) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 199

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

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

GCD(1, 199) = 199 / 199

GCD(1, 199) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 1

GCD of 261, 568, 199, 600 is 1

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1. What is the GCD of 261, 568, 199, 600?

GCD of 261, 568, 199, 600 is 1

2. Where do I get the detailed procedure to find GCD of 261, 568, 199, 600?

You can find a detailed procedure to find GCD of 261, 568, 199, 600 on our page.

3. How to find GCD of 261, 568, 199, 600 on a calculator?

You can find the GCD of 261, 568, 199, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.