GCD of 199, 884, 51, 967 Calculator

Given Input numbers are 199, 884, 51, 967

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 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Greatest Common Divisior

We found the divisors of 199, 884, 51, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 884, 51, 967 is 1.

Therefore, GCD of numbers 199, 884, 51, 967 is 1

Given Input Data is 199, 884, 51, 967

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

Prime Factorization of 199 is 199

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 51 is 3 x 17

Prime Factorization of 967 is 967

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, 884) = 175916

GCD(199, 884) = ( 199 x 884 ) / 175916

GCD(199, 884) = 175916 / 175916

GCD(199, 884) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 967

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

LCM(1, 967) = 967

GCD(1, 967) = ( 1 x 967 ) / 967

GCD(1, 967) = 967 / 967

GCD(1, 967) = 1

GCD of 199, 884, 51, 967 is 1

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1. What is the GCD of 199, 884, 51, 967?

GCD of 199, 884, 51, 967 is 1

2. Where do I get the detailed procedure to find GCD of 199, 884, 51, 967?

You can find a detailed procedure to find GCD of 199, 884, 51, 967 on our page.

3. How to find GCD of 199, 884, 51, 967 on a calculator?

You can find the GCD of 199, 884, 51, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.