GCD of 199, 472, 125, 598 Calculator

Given Input numbers are 199, 472, 125, 598

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 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Greatest Common Divisior

We found the divisors of 199, 472, 125, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 472, 125, 598 is 1.

Therefore, GCD of numbers 199, 472, 125, 598 is 1

Given Input Data is 199, 472, 125, 598

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

Prime Factorization of 199 is 199

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 598 is 2 x 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(199, 472) = 93928

GCD(199, 472) = ( 199 x 472 ) / 93928

GCD(199, 472) = 93928 / 93928

GCD(199, 472) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 125

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

LCM(1, 125) = 125

GCD(1, 125) = ( 1 x 125 ) / 125

GCD(1, 125) = 125 / 125

GCD(1, 125) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 598

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

LCM(1, 598) = 598

GCD(1, 598) = ( 1 x 598 ) / 598

GCD(1, 598) = 598 / 598

GCD(1, 598) = 1

GCD of 199, 472, 125, 598 is 1

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1. What is the GCD of 199, 472, 125, 598?

GCD of 199, 472, 125, 598 is 1

2. Where do I get the detailed procedure to find GCD of 199, 472, 125, 598?

You can find a detailed procedure to find GCD of 199, 472, 125, 598 on our page.

3. How to find GCD of 199, 472, 125, 598 on a calculator?

You can find the GCD of 199, 472, 125, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.