GCD of 554, 100, 13, 488 Calculator

Given Input numbers are 554, 100, 13, 488

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

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Greatest Common Divisior

We found the divisors of 554, 100, 13, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 554, 100, 13, 488 is 1.

Therefore, GCD of numbers 554, 100, 13, 488 is 1

Given Input Data is 554, 100, 13, 488

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

Prime Factorization of 554 is 2 x 277

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 13 is 13

Prime Factorization of 488 is 2 x 2 x 2 x 61

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(554, 100) = 27700

GCD(554, 100) = ( 554 x 100 ) / 27700

GCD(554, 100) = 55400 / 27700

GCD(554, 100) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 13

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

LCM(2, 13) = 26

GCD(2, 13) = ( 2 x 13 ) / 26

GCD(2, 13) = 26 / 26

GCD(2, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 488

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

LCM(1, 488) = 488

GCD(1, 488) = ( 1 x 488 ) / 488

GCD(1, 488) = 488 / 488

GCD(1, 488) = 1

GCD of 554, 100, 13, 488 is 1

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1. What is the GCD of 554, 100, 13, 488?

GCD of 554, 100, 13, 488 is 1

2. Where do I get the detailed procedure to find GCD of 554, 100, 13, 488?

You can find a detailed procedure to find GCD of 554, 100, 13, 488 on our page.

3. How to find GCD of 554, 100, 13, 488 on a calculator?

You can find the GCD of 554, 100, 13, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.