GCD of 58, 556, 440, 504 Calculator

Given Input numbers are 58, 556, 440, 504

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Greatest Common Divisior

We found the divisors of 58, 556, 440, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 556, 440, 504 is 2.

Therefore, GCD of numbers 58, 556, 440, 504 is 2

Given Input Data is 58, 556, 440, 504

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

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(58, 556) = 16124

GCD(58, 556) = ( 58 x 556 ) / 16124

GCD(58, 556) = 32248 / 16124

GCD(58, 556) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 440

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

LCM(2, 440) = 440

GCD(2, 440) = ( 2 x 440 ) / 440

GCD(2, 440) = 880 / 440

GCD(2, 440) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 504

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

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

GCD(2, 504) = 1008 / 504

GCD(2, 504) = 2

GCD of 58, 556, 440, 504 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 24, 249, 953, 873
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• GCD of 42, 297, 859, 653
• GCD of 12, 699, 759, 890
• GCD of 96, 636, 181, 730

1. What is the GCD of 58, 556, 440, 504?

GCD of 58, 556, 440, 504 is 2

2. Where do I get the detailed procedure to find GCD of 58, 556, 440, 504?

You can find a detailed procedure to find GCD of 58, 556, 440, 504 on our page.

3. How to find GCD of 58, 556, 440, 504 on a calculator?

You can find the GCD of 58, 556, 440, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.