GCD of 553, 108, 55, 199 Calculator

Given Input numbers are 553, 108, 55, 199

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

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

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 553, 108, 55, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 108, 55, 199 is 1.

Therefore, GCD of numbers 553, 108, 55, 199 is 1

Given Input Data is 553, 108, 55, 199

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 55 is 5 x 11

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(553, 108) = 59724

GCD(553, 108) = ( 553 x 108 ) / 59724

GCD(553, 108) = 59724 / 59724

GCD(553, 108) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 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 553, 108, 55, 199 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 444, 119, 36, 969
• GCD of 724, 280, 97, 623
• GCD of 718, 873, 27, 428
• GCD of 158, 865, 60, 351
• GCD of 157, 559, 59, 863

1. What is the GCD of 553, 108, 55, 199?

GCD of 553, 108, 55, 199 is 1

2. Where do I get the detailed procedure to find GCD of 553, 108, 55, 199?

You can find a detailed procedure to find GCD of 553, 108, 55, 199 on our page.

3. How to find GCD of 553, 108, 55, 199 on a calculator?

You can find the GCD of 553, 108, 55, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.