GCD of 106, 563, 17, 248 Calculator

Given Input numbers are 106, 563, 17, 248

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 17

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

1, 17

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Greatest Common Divisior

We found the divisors of 106, 563, 17, 248 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 563, 17, 248 is 1.

Therefore, GCD of numbers 106, 563, 17, 248 is 1

Given Input Data is 106, 563, 17, 248

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 563 is 563

Prime Factorization of 17 is 17

Prime Factorization of 248 is 2 x 2 x 2 x 31

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(106, 563) = 59678

GCD(106, 563) = ( 106 x 563 ) / 59678

GCD(106, 563) = 59678 / 59678

GCD(106, 563) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 248

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

LCM(1, 248) = 248

GCD(1, 248) = ( 1 x 248 ) / 248

GCD(1, 248) = 248 / 248

GCD(1, 248) = 1

GCD of 106, 563, 17, 248 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 263, 19, 376
• GCD of 950, 477, 18, 379
• GCD of 680, 141, 14, 582
• GCD of 665, 952, 29, 638
• GCD of 661, 417, 66, 347

1. What is the GCD of 106, 563, 17, 248?

GCD of 106, 563, 17, 248 is 1

2. Where do I get the detailed procedure to find GCD of 106, 563, 17, 248?

You can find a detailed procedure to find GCD of 106, 563, 17, 248 on our page.

3. How to find GCD of 106, 563, 17, 248 on a calculator?

You can find the GCD of 106, 563, 17, 248 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.