GCD of 616, 912, 558, 544 Calculator

Given Input numbers are 616, 912, 558, 544

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

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Greatest Common Divisior

We found the divisors of 616, 912, 558, 544 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 912, 558, 544 is 2.

Therefore, GCD of numbers 616, 912, 558, 544 is 2

Given Input Data is 616, 912, 558, 544

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

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(616, 912) = 70224

GCD(616, 912) = ( 616 x 912 ) / 70224

GCD(616, 912) = 561792 / 70224

GCD(616, 912) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 558

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

LCM(8, 558) = 2232

GCD(8, 558) = ( 8 x 558 ) / 2232

GCD(8, 558) = 4464 / 2232

GCD(8, 558) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 544

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

LCM(2, 544) = 544

GCD(2, 544) = ( 2 x 544 ) / 544

GCD(2, 544) = 1088 / 544

GCD(2, 544) = 2

GCD of 616, 912, 558, 544 is 2

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1. What is the GCD of 616, 912, 558, 544?

GCD of 616, 912, 558, 544 is 2

2. Where do I get the detailed procedure to find GCD of 616, 912, 558, 544?

You can find a detailed procedure to find GCD of 616, 912, 558, 544 on our page.

3. How to find GCD of 616, 912, 558, 544 on a calculator?

You can find the GCD of 616, 912, 558, 544 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.