GCD of 199, 879, 600, 272 Calculator

Given Input numbers are 199, 879, 600, 272

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

Divisors of 199

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

1, 199

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

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

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Greatest Common Divisior

We found the divisors of 199, 879, 600, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 879, 600, 272 is 1.

Therefore, GCD of numbers 199, 879, 600, 272 is 1

Given Input Data is 199, 879, 600, 272

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

Prime Factorization of 199 is 199

Prime Factorization of 879 is 3 x 293

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

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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(199, 879) = 174921

GCD(199, 879) = ( 199 x 879 ) / 174921

GCD(199, 879) = 174921 / 174921

GCD(199, 879) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

GCD of 199, 879, 600, 272 is 1

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1. What is the GCD of 199, 879, 600, 272?

GCD of 199, 879, 600, 272 is 1

2. Where do I get the detailed procedure to find GCD of 199, 879, 600, 272?

You can find a detailed procedure to find GCD of 199, 879, 600, 272 on our page.

3. How to find GCD of 199, 879, 600, 272 on a calculator?

You can find the GCD of 199, 879, 600, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.