GCD of 580, 368, 648, 912 Calculator

Given Input numbers are 580, 368, 648, 912

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

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

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

Greatest Common Divisior

We found the divisors of 580, 368, 648, 912 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 368, 648, 912 is 4.

Therefore, GCD of numbers 580, 368, 648, 912 is 4

Given Input Data is 580, 368, 648, 912

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

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(580, 368) = 53360

GCD(580, 368) = ( 580 x 368 ) / 53360

GCD(580, 368) = 213440 / 53360

GCD(580, 368) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 648

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

LCM(4, 648) = 648

GCD(4, 648) = ( 4 x 648 ) / 648

GCD(4, 648) = 2592 / 648

GCD(4, 648) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 912

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

LCM(4, 912) = 912

GCD(4, 912) = ( 4 x 912 ) / 912

GCD(4, 912) = 3648 / 912

GCD(4, 912) = 4

GCD of 580, 368, 648, 912 is 4

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1. What is the GCD of 580, 368, 648, 912?

GCD of 580, 368, 648, 912 is 4

2. Where do I get the detailed procedure to find GCD of 580, 368, 648, 912?

You can find a detailed procedure to find GCD of 580, 368, 648, 912 on our page.

3. How to find GCD of 580, 368, 648, 912 on a calculator?

You can find the GCD of 580, 368, 648, 912 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.