GCD of 199, 951, 928, 523 Calculator

Given Input numbers are 199, 951, 928, 523

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 951

List of positive integer divisors of 951 that divides 951 without a remainder.

1, 3, 317, 951

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Greatest Common Divisior

We found the divisors of 199, 951, 928, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 951, 928, 523 is 1.

Therefore, GCD of numbers 199, 951, 928, 523 is 1

Given Input Data is 199, 951, 928, 523

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

Prime Factorization of 199 is 199

Prime Factorization of 951 is 3 x 317

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 523 is 523

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, 951) = 189249

GCD(199, 951) = ( 199 x 951 ) / 189249

GCD(199, 951) = 189249 / 189249

GCD(199, 951) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 928

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

LCM(1, 928) = 928

GCD(1, 928) = ( 1 x 928 ) / 928

GCD(1, 928) = 928 / 928

GCD(1, 928) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 523

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

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

GCD(1, 523) = 523 / 523

GCD(1, 523) = 1

GCD of 199, 951, 928, 523 is 1

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1. What is the GCD of 199, 951, 928, 523?

GCD of 199, 951, 928, 523 is 1

2. Where do I get the detailed procedure to find GCD of 199, 951, 928, 523?

You can find a detailed procedure to find GCD of 199, 951, 928, 523 on our page.

3. How to find GCD of 199, 951, 928, 523 on a calculator?

You can find the GCD of 199, 951, 928, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.