GCD of 17, 122, 524, 199 Calculator

Given Input numbers are 17, 122, 524, 199

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

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 199

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

1, 199

Greatest Common Divisior

We found the divisors of 17, 122, 524, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 122, 524, 199 is 1.

Therefore, GCD of numbers 17, 122, 524, 199 is 1

Given Input Data is 17, 122, 524, 199

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

Prime Factorization of 17 is 17

Prime Factorization of 122 is 2 x 61

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 199 is 199

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(17, 122) = 2074

GCD(17, 122) = ( 17 x 122 ) / 2074

GCD(17, 122) = 2074 / 2074

GCD(17, 122) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 524

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

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

GCD(1, 524) = 524 / 524

GCD(1, 524) = 1

Step3:

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

GCD of 17, 122, 524, 199 is 1

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1. What is the GCD of 17, 122, 524, 199?

GCD of 17, 122, 524, 199 is 1

2. Where do I get the detailed procedure to find GCD of 17, 122, 524, 199?

You can find a detailed procedure to find GCD of 17, 122, 524, 199 on our page.

3. How to find GCD of 17, 122, 524, 199 on a calculator?

You can find the GCD of 17, 122, 524, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.